POINTWISE MULTIPLIERS ON INHOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES IN THE SETTING OF SPACES OF HOMOGENEOUS TYPE

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. 20...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 17; no. 1; pp. 179 - 206
Main Author Han, Yanchang
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.02.2013
Subjects
Abstract spaces
Function spaces
Operator theory
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ISSN1027-5487
2224-6851
DOI10.11650/tjm.17.2013.1864

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Summary: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. 2010Mathematics Subject Classification: Primary 46E35; Secondary 42B25, 42B35. Key words and phrases: Pointwise multiplier, Multiplication operator, Besov and Triebel-Lizorkin space, Calderón reproducing formula, Space of homogeneous type.
ISSN:1027-5487
2224-6851
DOI:10.11650/tjm.17.2013.1864