Interpolating sequences for some subsets of analytic Besov type spaces

被引：1

作者：

Qian, Ruishen ^{[1
]}

Ye, Fangqin ^{[2
]}

机构：

[1] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Guangdong, Peoples R China

[2] Shantou Univ, Business Sch, Shantou 515063, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 507卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Interpolating sequence; Multiplier; Besov type space; F(p; p-2; s); space; BLOCH FUNCTIONS; MULTIPLIERS; OPERATORS;

D O I：

10.1016/j.jmaa.2021.125838

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let B-p (s) be an analytic Besov type space. Let M(B-p(s)) be the class of multipliers of B-p (s) and let F(p, p - 2, s) be the Mobius invariant subspace generated by B-p(s). In this paper, when 0 < s < 1 and max{s, 1 - s} < p <= 1, we give a complete description of interpolating sequences for M(B-p(s)) and F(p, p-2, s) boolean AND H-infinity. We also consider certain condition appeared in this description by an L-P characterization and the closure of F(p, p - 2, s) in the Bloch space. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：14

共 37 条

[21] Solutions of Complex Differential Equation Having Pre-given Zeros in the Unit Disc [J].

Grohn, Janne .

CONSTRUCTIVE APPROXIMATION, 2019, 49 (02) :295-306

[22] TOEPLITZ OPERATORS ON THE DISK [J].

MCDONALD, G ;

SUNDBERG, C .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (04) :595-611

[23] Bounded functions in Mobius invariant Dirichlet spaces [J].

Nicolau, A ;

Xiao, J .

JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 150 (02) :383-425

[24] FINITE PRODUCTS OF INTERPOLATING BLASCHKE PRODUCTS [J].

NICOLAU, A .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1994, 50 :520-531

[25] An Lp definition of interpolating Blaschke products [J].

Nolder, CA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (06) :1799-1806

[26] Pointwise multipliers and corona type decomposition in BMOA [J].

Ortega, JM ;

Fabrega, J .

ANNALES DE L INSTITUT FOURIER, 1996, 46 (01) :111-&

[27] INNER FUNCTIONS IN THE MOBIUS INVARIANT BESOV-TYPE SPACES [J].

Perez-Gonzalez, Fernando ;

Rattya, Jouni .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2009, 52 :751-770

[28]

Qian R., 2021, IN PRESS

[29]

Rattya J, 2001, ANN ACAD SCI FENN-M, V124

[30] Carleson measures and multipliers for Dirichlet spaces [J].

Wu, ZJ .

JOURNAL OF FUNCTIONAL ANALYSIS, 1999, 169 (01) :148-163

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