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2013 POINTWISE MULTIPLIERS ON INHOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES IN THESETTING OF SPACES OF HOMOGENEOUS TYPE
Yanchang Han
Taiwanese J. Math. 17(1): 179-206 (2013). DOI: 10.11650/tjm.17.2013.1864

Abstract

Using the discrete Calderón reproducing formula in [9] and the Plancherel-Pôlya characterization of the inhomogeneous Besov and Triebel-Lizorkin spaces developed in [5], we prove pointwise multipliers on inhomogeneous Besov and Triebel-Lizorkin spaces in the setting of spaces of homogeneous type.

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Yanchang Han. "POINTWISE MULTIPLIERS ON INHOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES IN THESETTING OF SPACES OF HOMOGENEOUS TYPE." Taiwanese J. Math. 17 (1) 179 - 206, 2013. https://doi.org/10.11650/tjm.17.2013.1864

Information

Published: 2013
First available in Project Euclid: 10 July 2017

zbMATH: 1271.46031
MathSciNet: MR3028864
Digital Object Identifier: 10.11650/tjm.17.2013.1864

Subjects:
Primary: 46E35
Secondary: 42B25 , 42B35

Keywords: Besov and Triebel-Lizorkin space , Calderón reproducing formula , multiplication operator , pointwise multiplier , space of homogeneous type

Rights: Copyright © 2013 The Mathematical Society of the Republic of China

Vol.17 • No. 1 • 2013
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