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February, 2019 A Characterization of Weighted Carleson Measure Spaces
Hsun-Wu Liu, Kunchuan Wang
Taiwanese J. Math. 23(1): 103-127 (February, 2019). DOI: 10.11650/tjm/180408

Abstract

Using Frazier and Jawerth's $\varphi$-transform, we characterize weighted generalized Carleson measure spaces $\dot{C}MO^{\alpha,q}_{p,w}$ for a weight $w$ and show that the definition of this space is well-defined by a Plancherel-Pôlya inequality. Note that $\dot{C}MO^{0,2}_{1,w}$ is the weighted $BMO$ space.

Citation

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Hsun-Wu Liu. Kunchuan Wang. "A Characterization of Weighted Carleson Measure Spaces." Taiwanese J. Math. 23 (1) 103 - 127, February, 2019. https://doi.org/10.11650/tjm/180408

Information

Received: 22 October 2017; Revised: 21 April 2018; Accepted: 26 April 2018; Published: February, 2019
First available in Project Euclid: 21 May 2018

zbMATH: 07021720
MathSciNet: MR3909992
Digital Object Identifier: 10.11650/tjm/180408

Subjects:
Primary: 42B35

Keywords: Carleson measure , Plancherel-Pôlya inequality , Triebel-Lizorkin space , weight

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

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Vol.23 • No. 1 • February, 2019
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