Interpolating Sequences on Analytic Besov Type Spaces

被引：24

作者：

Arcozzi, Nicola ^{[1
]}

Blasi, Daniel ^{[3
]}

Pau, Jordi ^{[2
]}

机构：

[1] Univ Bologna, Dept Math, I-40127 Bologna, Italy

[2] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain

[3] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2009年 / 58卷 / 03期

关键词：

Besov spaces; interpolating sequences; Carleson measures; corona problems; DIRICHLET-TYPE SPACES; CARLESON MEASURES; BOUNDED-FUNCTIONS; BERGMAN SPACES; MULTIPLIERS; OPERATORS;

D O I：

10.1512/iumj.2009.58.3589

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the interpolating sequences for the weighted analytic Besov spaces B(p) (s), defined by the norm parallel to f parallel to(p)(Bp(s)) = vertical bar f(0)vertical bar(p) + integral(D) vertical bar(1-vertical bar z vertical bar(2))f'(z)vertical bar(p)(1-vertical bar z vertical bar(2))(s) dA(z)/(1-vertical bar z vertical bar(2))(2), 1 < p < infinity and 0 < s < 1, and for the corresponding multiplier spaces M(B(p)(s)).

引用

页码：1281 / 1318

页数：38

共 36 条

[1]

Aleman A, 1997, INDIANA U MATH J, V46, P337

[2]

AMAR E, 1983, B SCI MATH, V107, P25

[3]

[Anonymous], 2006, MEMOIRS AM MATH SOC

[4]

Arcozzi N, 2002, REV MAT IBEROAM, V18, P443