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The Carleson Measure Problem Between Analytic Morrey Spaces

Published online by Cambridge University Press:  20 November 2018

Jianfei Wang*
Affiliation:
Mathematics, Physics and Information Engineering, ZhejiangNormalUniversity, Jinhua, Zhejiang, 321004, China e-mail: [email protected]
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Abstract

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The purpose of this paper is to characterize positive measure $\mu$ on the unit disk such that the analytic Morrey space $\mathcal{A}{{\mathcal{L}}_{p,\eta }}$ is boundedly and compactly embedded to the tent space

$$\mathcal{J}_{q,1-\frac{q}{p}\left( 1-\eta \right)}^{\infty }\left( \mu \right)$$

for the case $1\,\le \,q\,\le \,p\,<\,\infty$ respectively. As an application, these results are used to establish the boundedness and compactness of integral operators and multipliers between analytic Morrey spaces.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2016

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