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The Carleson Measure Problem Between Analytic Morrey Spaces

  Published:2016-03-23
 Printed: Dec 2016
  • Jianfei Wang,
    Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang, 321004, China
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Abstract

The purpose of this paper is to characterize positive measure $\mu$ on the unit disk such that the analytic Morrey space $\mathcal{AL}_{p,\eta}$ is boundedly and compactly embedded to the tent space $\mathcal{T}_{q,1-\frac{q}{p}(1-\eta)}^{\infty}(\mu)$ for the case $1\leq q\leq p\lt \infty$ respectively. As an application, these results are used to establish the boundedness and compactness of integral operators and multipliers between analytic Morrey spaces.
Keywords: Morrey space, Carleson measure problem, boundedness, compactness Morrey space, Carleson measure problem, boundedness, compactness
MSC Classifications: 30H35, 28A12, 47B38, 46E15 show english descriptions BMO-spaces
Contents, measures, outer measures, capacities
Operators on function spaces (general)
Banach spaces of continuous, differentiable or analytic functions
30H35 - BMO-spaces
28A12 - Contents, measures, outer measures, capacities
47B38 - Operators on function spaces (general)
46E15 - Banach spaces of continuous, differentiable or analytic functions
 

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