On some sharp weighted norm inequalities

Andrei K. Lerner

doi:10.1016/j.jfa.2005.08.006

On some sharp weighted norm inequalities

Andrei K. Lerner

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

Given a weight ω, we consider the space ML_ω^p which coincides with L_ω^p when ω ∈ A_p. Sharp weighted norm inequalities on ML_ω^p for the Calderón-Zygmund and Littlewood-Paley operators are obtained in terms of the A_p characteristic of ω for any 1 < p < ∞.

Original language	English
Pages (from-to)	477-494
Number of pages	18
Journal	Journal of Functional Analysis
Volume	232
Issue number	2
DOIs	https://doi.org/10.1016/j.jfa.2005.08.006
State	Published - 15 Mar 2006

Keywords

Calderón-Zygmund and Littlewood-Paley operators
Local sharp maximal function
Sharp weighted estimates

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10.1016/j.jfa.2005.08.006

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title = "On some sharp weighted norm inequalities",

abstract = "Given a weight ω, we consider the space MLωp which coincides with Lωp when ω ∈ Ap. Sharp weighted norm inequalities on MLωp for the Calder{\'o}n-Zygmund and Littlewood-Paley operators are obtained in terms of the Ap characteristic of ω for any 1 < p < ∞.",

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year = "2006",

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AU - Lerner, Andrei K.

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N2 - Given a weight ω, we consider the space MLωp which coincides with Lωp when ω ∈ Ap. Sharp weighted norm inequalities on MLωp for the Calderón-Zygmund and Littlewood-Paley operators are obtained in terms of the Ap characteristic of ω for any 1 < p < ∞.

AB - Given a weight ω, we consider the space MLωp which coincides with Lωp when ω ∈ Ap. Sharp weighted norm inequalities on MLωp for the Calderón-Zygmund and Littlewood-Paley operators are obtained in terms of the Ap characteristic of ω for any 1 < p < ∞.

KW - Calderón-Zygmund and Littlewood-Paley operators

KW - Local sharp maximal function

KW - Sharp weighted estimates

UR - https://www.scopus.com/pages/publications/31744431778

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SN - 0022-1236

VL - 232

SP - 477

EP - 494

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

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On some sharp weighted norm inequalities

Abstract

Keywords

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