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Harmonic Analysis in Euclidean Spaces, Part 1
 
Harmonic Analysis in Euclidean Spaces, Part 1
Softcover ISBN:  978-0-8218-1436-9
Product Code:  PSPUM/35.1
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9323-4
Product Code:  PSPUM/35.1.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Softcover ISBN:  978-0-8218-1436-9
eBook: ISBN:  978-0-8218-9323-4
Product Code:  PSPUM/35.1.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Harmonic Analysis in Euclidean Spaces, Part 1
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Harmonic Analysis in Euclidean Spaces, Part 1
Softcover ISBN:  978-0-8218-1436-9
Product Code:  PSPUM/35.1
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9323-4
Product Code:  PSPUM/35.1.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Softcover ISBN:  978-0-8218-1436-9
eBook ISBN:  978-0-8218-9323-4
Product Code:  PSPUM/35.1.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 351979; 460 pp
    MSC: Primary 42; Secondary 43;

    Contains sections on Real harmonic analysis, Hardy spaces and BMO,Harmonic functions, potential theory and theory of functions of one complex variable

    This item is also available as part of a set:
  • Table of Contents
     
     
    • Real harmonic analysis
    • E. M. Stein — Some problems in harmonic analysis [ MR 545235 ]
    • R. R. Coifman — On operators of harmonic analysis which are not convolutions [ MR 545236 ]
    • Antonio Córdoba — Maximal functions, covering lemmas and Fourier multipliers [ MR 545237 ]
    • R. Fefferman — Covering lemmas, maximal functions and multiplier operators in Fourier analysis [ MR 545238 ]
    • Miguel de Guzmán — Besicovitch theory of linearly measurable sets and Fourier analysis [ MR 545239 ]
    • Benjamin Muckenhoupt — Weighted norm inequalities for classical operators [ MR 545240 ]
    • Stephen Wainger — Applications of Fourier transforms to averages over lower-dimensional sets [ MR 545241 ]
    • Alexander Nagel, Elias M. Stein and Stephen Wainger — Hilbert transforms and maximal functions related to variable curves [ MR 545242 ]
    • Jacques Peyrière — Regularity of spherical means [ MR 545243 ]
    • Elena Prestini — Restriction theorems for the Fourier transform to some manifolds in $\mathbf {R}^{n}$ [ MR 545244 ]
    • Peter A. Tomas — Restriction theorems for the Fourier transform [ MR 545245 ]
    • Richard J. Bagby — Riesz potentials and Fourier multipliers [ MR 545246 ]
    • Leonede De Michele and Ian R. Inglis — Fourier multipliers vanishing at infinity [ MR 545247 ]
    • Alberto Torchinsky — Weighted norm inequalities for the Littlewood-Paley function $g^*_{\lambda }$ [ MR 545248 ]
    • Wo Sang Young — Weighted norm inequalities for multipliers [ MR 545249 ]
    • Jan-Olov Strömberg — Non-equivalence between two kinds of conditions on weight functions [ MR 545250 ]
    • Daniel W. Stroock — Some remarks about Beckner’s inequality [ MR 545251 ]
    • Fred B. Weissler — Hypercontractive estimates for semigroups [ MR 545252 ]
    • William C. Connett — Singular integrals near $L^{1}$ [ MR 545253 ]
    • Bogdan M. Baishanski — On Carleson’s convergence theorem for $L^{2}$ functions [ MR 545254 ]
    • Daniel Waterman — Multiple Fourier series of functions of generalized bounded variation [ MR 545255 ]
    • G. Wilmes — Some inequalities for Riesz potentials of trigonometric polymonials of several variables [ MR 545256 ]
    • Björn E. J. Dahlberg — A note on Sobolev spaces [ MR 545257 ]
    • Hardy spaces and BMO
    • Guido Weiss — Some problems in the theory of Hardy spaces [ MR 545258 ]
    • Colin Bennett and Robert Sharpley — Weak-type inequalities for $H^{p}$ and BMO [ MR 545259 ]
    • R. R. Coifman and Björn Dahlberg — Singular integral characterizations of nonisotropic $H^{p}$ spaces and the F. and M. Riesz theorem [ MR 545260 ]
    • Roberto A. Macías and Carlos Segovia — A maximal theory for generalized Hardy spaces [ MR 545261 ]
    • David Goldberg — Local Hardy spaces [ MR 545262 ]
    • W. R. Madych — Distributions with strong maximal functions in $L^{p}(\mathbf {R}^{n})$ [ MR 545263 ]
    • José García-Cuerva — Weighted Hardy spaces [ MR 545264 ]
    • Carlos E. Kenig — Weighted Hardy spaces on Lipschitz domains [ MR 545265 ]
    • Robert H. Latter — The atomic decomposition of Hardy spaces [ MR 545266 ]
    • Mitchell H. Taibleson and Guido Weiss — The molecular characterization of Hardy spaces [ MR 545267 ]
    • Fulvio Ricci and Guido Weiss — A characterization of $H^{1}(\Sigma _{n-1})$ [ MR 545268 ]
    • John B. Garnett — Two constructions in BMO [ MR 545269 ]
    • James E. Brennan — Invariant subspaces and subnormal operators [ MR 545270 ]
    • Harmonic functions, potential theory and theory of functions of one complex variable
    • Björn E. J. Dahlberg — Harmonic functions in Lipschitz domains [ MR 545271 ]
    • Adam Korányi — A survey of harmonic functions on symmetric spaces [ MR 545272 ]
    • Michael Benedicks — Positive harmonic functions vanishing on the boundary of certain domains in $\mathbf {R}^{n+1}$ [ MR 545273 ]
    • Harry Kesten — Positive harmonic functions with zero boundary values [ MR 545274 ]
    • Umberto Neri — Harmonic functions with BMO boundary values [ MR 545275 ]
    • David R. Adams — $L^{p}$-capacitary integrals with some applications [ MR 545276 ]
    • Victor L. Shapiro and Grant V. Welland — Sobolov spaces, the Navier-Stokes equations and capacity [ MR 545277 ]
    • Lars Inge Hedberg — Approximation in $L^{p}$ by analytic and harmonic functions [ MR 545278 ]
    • Mischa Cotlar and Cora Sadosky — On the Helson-Szegő theorem and a related class of modified Toeplitz kernels [ MR 545279 ]
    • Albert Bernstein, II — Some sharp inequalities for conjugate functions [ MR 545280 ]
    • Peter W. Jones — Constructions for BMO$(\mathbf {R})$ and $A_{p}(\mathbf {R}^{n})$ [ MR 545281 ]
    • Sun-Yung A. Chang — Structure of some subalgebra of $L^{\infty }$ of the torus [ MR 545282 ]
    • David A. Stegenga — A geometric condition which implies BMOA [ MR 545283 ]
    • Paul Koosis — Proof of the Beurling-Malliavin theorem by duality and harmonic estimation [ MR 545284 ]
    • R. Kaufman — Zero sets of absolutely convergent Taylor series [ MR 545285 ]
    • J. Wermer — Capacity and uniform algebras [ MR 545286 ]
    • Douglas N. Clark — Following functions of class $H^{2}$ [ MR 545287 ]
    • Richard Rochberg — A Hankel type operator arising in deformation theory [ MR 9810 ]
    • R. R. Coifman and R. Rochberg — Representation theorems for holomorphic and harmonic functions [ MR 545288 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 351979; 460 pp
MSC: Primary 42; Secondary 43;

Contains sections on Real harmonic analysis, Hardy spaces and BMO,Harmonic functions, potential theory and theory of functions of one complex variable

This item is also available as part of a set:
  • Real harmonic analysis
  • E. M. Stein — Some problems in harmonic analysis [ MR 545235 ]
  • R. R. Coifman — On operators of harmonic analysis which are not convolutions [ MR 545236 ]
  • Antonio Córdoba — Maximal functions, covering lemmas and Fourier multipliers [ MR 545237 ]
  • R. Fefferman — Covering lemmas, maximal functions and multiplier operators in Fourier analysis [ MR 545238 ]
  • Miguel de Guzmán — Besicovitch theory of linearly measurable sets and Fourier analysis [ MR 545239 ]
  • Benjamin Muckenhoupt — Weighted norm inequalities for classical operators [ MR 545240 ]
  • Stephen Wainger — Applications of Fourier transforms to averages over lower-dimensional sets [ MR 545241 ]
  • Alexander Nagel, Elias M. Stein and Stephen Wainger — Hilbert transforms and maximal functions related to variable curves [ MR 545242 ]
  • Jacques Peyrière — Regularity of spherical means [ MR 545243 ]
  • Elena Prestini — Restriction theorems for the Fourier transform to some manifolds in $\mathbf {R}^{n}$ [ MR 545244 ]
  • Peter A. Tomas — Restriction theorems for the Fourier transform [ MR 545245 ]
  • Richard J. Bagby — Riesz potentials and Fourier multipliers [ MR 545246 ]
  • Leonede De Michele and Ian R. Inglis — Fourier multipliers vanishing at infinity [ MR 545247 ]
  • Alberto Torchinsky — Weighted norm inequalities for the Littlewood-Paley function $g^*_{\lambda }$ [ MR 545248 ]
  • Wo Sang Young — Weighted norm inequalities for multipliers [ MR 545249 ]
  • Jan-Olov Strömberg — Non-equivalence between two kinds of conditions on weight functions [ MR 545250 ]
  • Daniel W. Stroock — Some remarks about Beckner’s inequality [ MR 545251 ]
  • Fred B. Weissler — Hypercontractive estimates for semigroups [ MR 545252 ]
  • William C. Connett — Singular integrals near $L^{1}$ [ MR 545253 ]
  • Bogdan M. Baishanski — On Carleson’s convergence theorem for $L^{2}$ functions [ MR 545254 ]
  • Daniel Waterman — Multiple Fourier series of functions of generalized bounded variation [ MR 545255 ]
  • G. Wilmes — Some inequalities for Riesz potentials of trigonometric polymonials of several variables [ MR 545256 ]
  • Björn E. J. Dahlberg — A note on Sobolev spaces [ MR 545257 ]
  • Hardy spaces and BMO
  • Guido Weiss — Some problems in the theory of Hardy spaces [ MR 545258 ]
  • Colin Bennett and Robert Sharpley — Weak-type inequalities for $H^{p}$ and BMO [ MR 545259 ]
  • R. R. Coifman and Björn Dahlberg — Singular integral characterizations of nonisotropic $H^{p}$ spaces and the F. and M. Riesz theorem [ MR 545260 ]
  • Roberto A. Macías and Carlos Segovia — A maximal theory for generalized Hardy spaces [ MR 545261 ]
  • David Goldberg — Local Hardy spaces [ MR 545262 ]
  • W. R. Madych — Distributions with strong maximal functions in $L^{p}(\mathbf {R}^{n})$ [ MR 545263 ]
  • José García-Cuerva — Weighted Hardy spaces [ MR 545264 ]
  • Carlos E. Kenig — Weighted Hardy spaces on Lipschitz domains [ MR 545265 ]
  • Robert H. Latter — The atomic decomposition of Hardy spaces [ MR 545266 ]
  • Mitchell H. Taibleson and Guido Weiss — The molecular characterization of Hardy spaces [ MR 545267 ]
  • Fulvio Ricci and Guido Weiss — A characterization of $H^{1}(\Sigma _{n-1})$ [ MR 545268 ]
  • John B. Garnett — Two constructions in BMO [ MR 545269 ]
  • James E. Brennan — Invariant subspaces and subnormal operators [ MR 545270 ]
  • Harmonic functions, potential theory and theory of functions of one complex variable
  • Björn E. J. Dahlberg — Harmonic functions in Lipschitz domains [ MR 545271 ]
  • Adam Korányi — A survey of harmonic functions on symmetric spaces [ MR 545272 ]
  • Michael Benedicks — Positive harmonic functions vanishing on the boundary of certain domains in $\mathbf {R}^{n+1}$ [ MR 545273 ]
  • Harry Kesten — Positive harmonic functions with zero boundary values [ MR 545274 ]
  • Umberto Neri — Harmonic functions with BMO boundary values [ MR 545275 ]
  • David R. Adams — $L^{p}$-capacitary integrals with some applications [ MR 545276 ]
  • Victor L. Shapiro and Grant V. Welland — Sobolov spaces, the Navier-Stokes equations and capacity [ MR 545277 ]
  • Lars Inge Hedberg — Approximation in $L^{p}$ by analytic and harmonic functions [ MR 545278 ]
  • Mischa Cotlar and Cora Sadosky — On the Helson-Szegő theorem and a related class of modified Toeplitz kernels [ MR 545279 ]
  • Albert Bernstein, II — Some sharp inequalities for conjugate functions [ MR 545280 ]
  • Peter W. Jones — Constructions for BMO$(\mathbf {R})$ and $A_{p}(\mathbf {R}^{n})$ [ MR 545281 ]
  • Sun-Yung A. Chang — Structure of some subalgebra of $L^{\infty }$ of the torus [ MR 545282 ]
  • David A. Stegenga — A geometric condition which implies BMOA [ MR 545283 ]
  • Paul Koosis — Proof of the Beurling-Malliavin theorem by duality and harmonic estimation [ MR 545284 ]
  • R. Kaufman — Zero sets of absolutely convergent Taylor series [ MR 545285 ]
  • J. Wermer — Capacity and uniform algebras [ MR 545286 ]
  • Douglas N. Clark — Following functions of class $H^{2}$ [ MR 545287 ]
  • Richard Rochberg — A Hankel type operator arising in deformation theory [ MR 9810 ]
  • R. R. Coifman and R. Rochberg — Representation theorems for holomorphic and harmonic functions [ MR 545288 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.