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2024, 02, v.39 3-10+2
Besov型空间上的Carleson测度不等式
基金项目(Foundation): 国家自然科学基金资助(11720101003)
邮箱(Email): wulan@stu.edu.cn;
DOI:
摘要:

本文给出了Besov空间■和对角Besov空间■上具有导数形式的Carleson测度不等式.同时,我们也指出相关结果对p=∞的情形并不成立.

Abstract:

In this paper, some Carleson measure inequalities for the Besov spaces and diagonal Besov spaces are given. Meanwhile, we show that the similar result is not true for the Bloch space viewed as a limited case of the Besov spaces.

参考文献

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[3] PéREZ-GONZáLEZ F,R?TTY?J. Forelli-Rudin estimates,Carleson measures and F(p,q,s)-functions[J].J Math Anal Appl,2006,315:394-414.

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[5] CARLESON L. Interpolations by bounded analytic functions and the corona problem[J]. Ann of Math,1962,76:547-559.

[6] HASTINGS W. A Carleson measures theorem for Bergman spaces[J]. Proc Amer Math Soc,1975,52:237-241.

[7] ZHU K. Operator theory in function spaces[M]. Providence,RI:American Mathematical Society,2007.

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[9] ZHU K. Spaces of holomorphic functions in the unit ball,Graduate Texts in Mathematics[M]. New York:Springer-Verlag,2005.

基本信息:

DOI:

中图分类号:O177

引用信息:

[1]左宁,乌兰哈斯.Besov型空间上的Carleson测度不等式[J].汕头大学学报(自然科学版),2024,39(02):3-10+2.

基金信息:

国家自然科学基金资助(11720101003)

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