Hörmander's multipliers for the weighted Herz-type hardy spaces

Ming Yi Lee; Chin Cheng Lin; Yu Tien Lin

doi:10.1007/s10114-005-0801-4

Hörmander's multipliers for the weighted Herz-type hardy spaces

Ming Yi Lee, Chin Cheng Lin, Yu Tien Lin

Department of Mathematics

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

1 Scopus citations

Abstract

In this article, we apply the molecular characterization of the weighted Hardy space developed by the first two authors to show the boundedness of Hörmander multiplier on the weighted Herz-type Hardy spaces H K̇₂^α,p (|x|^t; |x|}^t) and H K₂^α,p (|x|^t; |x|}^t).

Original language	English
Pages (from-to)	1509-1518
Number of pages	10
Journal	Acta Mathematica Sinica, English Series
Volume	22
Issue number	5
DOIs	https://doi.org/10.1007/s10114-005-0801-4
State	Published - Sep 2006

Keywords

A weights
Ḧormander's multipliers
Herz-type Hardy spaces
Weighted Hardy spaces

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10.1007/s10114-005-0801-4

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title = "H{\"o}rmander's multipliers for the weighted Herz-type hardy spaces",

abstract = "In this article, we apply the molecular characterization of the weighted Hardy space developed by the first two authors to show the boundedness of H{\"o}rmander multiplier on the weighted Herz-type Hardy spaces H {\.K}2α,p (|x|t; |x|}t) and H K2α,p (|x|t; |x|}t).",

keywords = "A weights, Ḧormander's multipliers, Herz-type Hardy spaces, Weighted Hardy spaces",

author = "Lee, {Ming Yi} and Lin, {Chin Cheng} and Lin, {Yu Tien}",

note = "Funding Information: Received July 28, 2004, Accepted November 25, 2004 Research is supported in part by National Science Council in Taipei",

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T1 - Hörmander's multipliers for the weighted Herz-type hardy spaces

AU - Lee, Ming Yi

AU - Lin, Chin Cheng

AU - Lin, Yu Tien

N1 - Funding Information: Received July 28, 2004, Accepted November 25, 2004 Research is supported in part by National Science Council in Taipei

PY - 2006/9

Y1 - 2006/9

N2 - In this article, we apply the molecular characterization of the weighted Hardy space developed by the first two authors to show the boundedness of Hörmander multiplier on the weighted Herz-type Hardy spaces H K̇2α,p (|x|t; |x|}t) and H K2α,p (|x|t; |x|}t).

AB - In this article, we apply the molecular characterization of the weighted Hardy space developed by the first two authors to show the boundedness of Hörmander multiplier on the weighted Herz-type Hardy spaces H K̇2α,p (|x|t; |x|}t) and H K2α,p (|x|t; |x|}t).

KW - A weights

KW - Ḧormander's multipliers

KW - Herz-type Hardy spaces

KW - Weighted Hardy spaces

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U2 - 10.1007/s10114-005-0801-4

DO - 10.1007/s10114-005-0801-4

M3 - 期刊論文

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JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 5

ER -

Hörmander's multipliers for the weighted Herz-type hardy spaces

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Keywords

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