𝒬KSpaces of Several Real Variables

Author:

Bao Guanlong1ORCID,Wulan Hasi1ORCID

Affiliation:

1. Department of Mathematics, Shantou University, Shantou 515063, China

Abstract

We introduce a new space,𝒬K(n)space, of several real variables with nondecreasing functionsK. By giving basic properties of the weighted functionK, by establishing a Stegenga-type estimate, and by introducing theK-Carleson measure on+n+1, we obtain various characterizations of𝒬K(n)space.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. BOUNDEDNESS OF HARDY TYPE OPERATORS ON Q-TYPE SPACES ASSOCIATED WITH WEIGHTS;Journal of Integral Equations and Applications;2024-06-01

2. Harmonic functions with traces in Q type spaces related to weights;Annals of Functional Analysis;2024-05-17

3. Extension of Q type spaces related with weights via s-harmonic equations and applications;Journal of Mathematical Analysis and Applications;2023-02

4. Extension of Q ‐type spaces related with weight functions via convolution operators on Heisenberg groups;Mathematical Methods in the Applied Sciences;2022-09-11

5. $${{\cal Q}_K}$$ Spaces: A Brief and Selective Survey;Acta Mathematica Scientia;2021-11

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