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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.