What is van der Corput's lemma in higher dimensions?

Anthony Carbery; James Wright

Displaying similar documents to “What is van der Corput's lemma in higher dimensions?”

Weighted weak type (1,1) estimates for oscillatory singular integrals

Shuichi Sato (2000)

Studia Mathematica

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We consider the $A_{1}$ -weights and prove the weighted weak type (1,1) inequalities for certain oscillatory singular integrals.

Hardy space estimates for multilinear operators (II).

Loukas Grafakos (1992)

Revista Matemática Iberoamericana

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We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces L(R) into the Hardy spaces H(R). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.

Weighted two-parameter Bergman space inequalities.

J. Michael Wilson (2003)

Publicacions Matemàtiques

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BMO and smooth truncation in Sobolev spaces

David Adams, Michael Frazier (1988)

Studia Mathematica

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Estimates for double Hilbert transform

Charles Fefferman (1972)

Studia Mathematica

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A characterization of $H^{p} (R^{n})$ in terms of atoms

Robert Latter (1978)

Studia Mathematica

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Characterization of $H^{p} (R^{n})$ in terms of generalized Littlewood-Paley g-functions

Akihito Uchiyama (1985)

Studia Mathematica

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On the theorem of Ivasev-Musatov. II

Thomas-William Korner (1978)

Annales de l'institut Fourier

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As in Part I [Annales de l’Inst. Fourier, 27-3 (1997), 97-113], our object is to construct a measure whose support has Lebesgue measure zero, but whose Fourier transform drops away extremely fast.

Multilinear Calderón-Zygmund operators on Hardy spaces.

Loukas Grafakos, Nigel Kalton (2001)

Collectanea Mathematica

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It is shown that multilinear Calderón-Zygmund operators are bounded on products of Hardy spaces.