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Harmonic Analysis in Euclidean Spaces, Part 1
Edited by:
Guido Weiss
Softcover ISBN:  9780821814369 
Product Code:  PSPUM/35.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893234 
Product Code:  PSPUM/35.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Softcover ISBN:  9780821814369 
eBook: ISBN:  9780821893234 
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 
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Harmonic Analysis in Euclidean Spaces, Part 1
Edited by:
Guido Weiss
Softcover ISBN:  9780821814369 
Product Code:  PSPUM/35.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893234 
Product Code:  PSPUM/35.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Softcover ISBN:  9780821814369 
eBook ISBN:  9780821893234 
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 DetailsProceedings of Symposia in Pure MathematicsVolume: 35; 1979; 460 ppMSC: 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 lowerdimensional 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 LittlewoodPaley function $g^*_{\lambda }$ [ MR 545248 ]

Wo Sang Young — Weighted norm inequalities for multipliers [ MR 545249 ]

JanOlov Strömberg — Nonequivalence 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 — Weaktype 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 GarcíaCuerva — 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 $H^{1}(\Sigma _{n1})$ [ 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 NavierStokes 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 HelsonSzegő 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 ]

SunYung 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 BeurlingMalliavin 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 ]


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
Volume: 35; 1979; 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 lowerdimensional 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 LittlewoodPaley function $g^*_{\lambda }$ [ MR 545248 ]

Wo Sang Young — Weighted norm inequalities for multipliers [ MR 545249 ]

JanOlov Strömberg — Nonequivalence 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 — Weaktype 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 GarcíaCuerva — 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 $H^{1}(\Sigma _{n1})$ [ 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 NavierStokes 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 HelsonSzegő 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 ]

SunYung 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 BeurlingMalliavin 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 ]
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