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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.
[1] LUECKING D. Forward and reverse Carleson inequalities for functions in Bergman spaces and their derivatives[J]. Amer J Math,1985,107:85-111.
[2] ARAZY J, FISHER S, PEETRE J. M?bius invariant function spaces[J]. J Reine Angew Math,1985,363:110-145.
[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.
[4] CARLESON L. An interpolation problem for bounded analytic functions[J]. Amer J Math,1958,80:921-930.
[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.
[8] ZHU K. A class of M?bius invariant function spaces[J]. Illinois J Math,2007,51:977-1002.
[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）