Spaces of bounded λ-central mean oscillation, Morrey spaces, and λ-central Carleson measures.

Josefina Alvárez; Joseph Lakey; Martha Guzmán-Partida

Displaying similar documents to “Spaces of bounded λ-central mean oscillation, Morrey spaces, and λ-central Carleson measures.”

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.

Continuity properties for linear commutators of Calderón-Zygmund operators.

Josefina Alvarez (1998)

Collectanea Mathematica

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Multilinear singular integrals involving a derivative of fractional order

Margaret Murray (1987)

Studia Mathematica

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Some new Hardy spaces $L ² H_{R}^{q} (ℝ ²_{+} \times ℝ ²_{+})$ (0 < q ≤ 1)

Dachun Yang (1994)

Studia Mathematica

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For 0 < q ≤ 1, the author introduces a new Hardy space $L ² H_{ℝ}^{q} (ℝ ²_{+} \times ℝ ²_{+})$ on the product domain, and gives its generalized Lusin-area characterization. From this characterization, a φ-transform characterization in M. Frazier and B. Jawerth’s sense is deduced.

An oscillatory singular integral operator with polynomial phase

Josfina Alvarez, Jorge Hounie (1999)

Studia Mathematica

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We prove the continuity of an oscillatory singular integral operator T with polynomial phase P(x,y) on an atomic space $H_{P}^{1}$ related to the phase P. Moreover, we show that the cancellation condition to be imposed on T holds under more general conditions. To that purpose, we obtain a van der Corput type lemma with integrability at infinity.

The φ-transform and wavelet characterizations of Herz-type spaces.

Eugenio Hernández, Guido Weiss, Dachun Yang (1996)

Collectanea Mathematica

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In this paper, the authors establish the phi-transform and wavelet characterizations for some Herz and Herz-type Hardy spaces by means of a local version of the discrete tent spaces at the origin.

Rough singular integral operators with Hardy space function kernels on a product domain

Yong Ding (1997)

Colloquium Mathematicae

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In this paper we introduce atomic Hardy spaces on the product domain $S^{n - 1} \times S^{m - 1}$ and prove that rough singular integral operators with Hardy space function kernels are $L^{p}$ bounded on $ℝ^{n} \times ℝ^{m}$ . This is an extension of some well known results.

A variant sharp estimate for multilinear singular integral operators

Guoen Hu, Dachun Yang (2000)

Studia Mathematica

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We establish a variant sharp estimate for multilinear singular integral operators. As applications, we obtain the weighted norm inequalities on general weights and certain $L l o g^{+} L$ type estimates for these multilinear operators.

Hardy space estimates for multilinear operators (I).

Ronald R. Coifman, Loukas Grafakos (1992)

Revista Matemática Iberoamericana

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In this article we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that necessary and sufficient condition for these operators to map products of Hardy spaces into Hardy spaces is to have a certain number of moments vanishing and under this assumption we prove a Hölder-type inequality in the H space context.

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.