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Harmonic analysis in Euclidean spaces : proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at Williams College, Williamstown, Massachusetts, July 10-28, 1978 / edited by Guido Weiss, Stephen Wainger.
- Format:
- Book
- Conference/Event
- Conference Name:
- Symposium in Pure Mathematics (1978 : Williams College), issuing body.
- Symposium in Pure Mathematics
- Series:
- Proceedings of symposia in pure mathematics ; volume 35, part 1.
- Proceedings of symposia in pure mathematics ; volume 35, part 1
- Language:
- English
- Subjects (All):
- Harmonic analysis--Congresses.
- Harmonic analysis.
- Generalized spaces--Congresses.
- Generalized spaces.
- Physical Description:
- 1 online resource (488 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 1979.
- Language Note:
- English
- Summary:
- Contains sections on Real harmonic analysis, Hardy spaces and BMO, Harmonic functions, and potential theory and theory of functions of one complex variable.
- Contents:
- ""Weighted norm inequalities for classical operators""""Applications of Fourier transforms to averages over lower dimensional sets""; ""Hilbert transforms and maximal functions related to variable curves""; ""Regularity of spherical means""; ""Restriction theorems for the Fourier transforms to some manifolds in R[sup(n)]""; ""Restriction theorems for the Fourier transform""; ""Riesz potentials and Fourier multipliers""; ""Fourier multipliers vanishing at infinity""; ""Weighted norm inequalities for the littlewood-Paley function g[sup(*)][sub(λ)]""
- ""Weighted norm inequalities for multipliers""""Non-equivalence between two kinds of conditions on weight functions""; ""Some remarks about Beckner's inequality""; ""Hypercontractive estimates for semigroups""; ""Singular integrals near L[sup(1)]""; ""On Carleson's convergence theorem for L[sup(2)] functions""; ""Multiple Fourier series of functions of generalized bounded variation""; ""Some inequalities for Riesz potentials of trigonometric polynomials of several variables""; ""A note on Sobolev spaces""; ""Chapter 2. Hardy spaces and BMO""; ""Some problems in the theory of Hardy spaces""
- ""Weak-type inequalities for H[sup(P)] and BMO""""Singular integral characterizations of nonisotropic H[sup(P)] spaces and the F. and M. Riesz theorem""; ""A maximal theory for generalized Hardy spaces""; ""Local Hardy spaces""; ""Distributions with strong maximal functions L[sup(p)](R[sup(n)])""; ""Weighted Hardy spaces""; ""Weighted Hardy spaces on lipschitz domains""; ""The atomic decomposition of Hardy spaces""; ""The molecular characterization of Hardy spaces""; ""Two constructions in BMO""; ""Invariant subspaces and subnormal operators""
- ""Chapter 3. Harmonic functions, potential theory and theory of functions of one complex variable""""Harmonic functions in Lipschitz domains""; ""A survey of harmonic functions on symmetric spaces""; ""Positive harmonic functions vanishing on the boundary of certain domains in R[sup(n+1)]""; ""Positive harmonic functions with zero boundary values""; ""Harmonic functions with BMO boundary values""; ""L[sup(P)]-capacitary integrals with some applications""; ""Sobolev spaces, the Navier-Stokes equations and capacity""; ""Approximation in L[sup(P)] by analytic and harmonic functions""
- ""On the Helson-Szego theorem and a related class of modified Toeplitz kernels""
- Notes:
- Prepared by the American Mathematical Society with partial support from National Science Foundation grant MCS 77-23480.
- Includes bibliographical references.
- Description based on online resource; title from PDF title page (ebrary, viewed May 19, 2014).
- ISBN:
- 0-8218-9323-8
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