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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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