The Bloch Spaces with Differentiable Strictly Positive Weights-Reference-Cited by-同舟云学术

The Bloch Spaces with Differentiable Strictly Positive Weights

Published:2024-06-17 Issue:1 Volume:30_NS4 Page:61-71
ISSN:0865-2090
Container-title:Mathematica Pannonica
language:
Short-container-title:MathPann

Author:

Nan Ding¹,Wulan Hasi²³

Affiliation:

1. School of Mathematics Science, Inner Mongolia Normal University, Huhehot, Inner Mongolia 010022, China

2. School of Mathematics Science, Inner Mongolia Minzu University, Tongliao, Inner Mongolia 028000, China

3. Department of Mathematics, Shantou University, Shantou, Guangdong 515063, China

Abstract

In this paper, some basic characterizations of a weighted Bloch space with the differentiable strictly positive weight 𝜔 on the unit disc are given, including the growth, the higher order or free derivative descriptions, and integral characterizations of functions in the space.

Publisher

Akademiai Kiado Zrt.

Link

https://akjournals.com/downloadpdf/journals/314/30_NS4/1/article-p61.xml

Reference21 articles.

1. [1]Aleman, A. and Constantin, O. Spectra of integration operators on weighted Bergman spaces. J. Anal. Math. 109 (2009), 199-231.

2. [2]Aleman, A., Pott, S., and Reguera, M. Characterizations of a limiting class ∞ of Békollé-Bonami weights. Rev. Mat. Iberoam 35, 6 (2019), 1677-1692.

3. [3]Aulaskari, R., Lappan, P., Xiao, J., and Zhao, R. On -Bloch spaces and multipliers of Dirichlet spaces. J. Math. Anal. Appl. 209 (1997), 103-121.

4. [4]Aulaskari, R., Xiao, J., and Zhao, R. On subspaces and subsets of BMOA and UBC. Analysis 15 (1995), 101-121.

5. [5]Baernstein, A. Analytic functions of bounded mean oscillation. Aspects of Contemporary Complex Analysis. Academic Press, 3-36. 1980.