CARLESON MEASURES ON CIRCULAR DOMAINS AND CANONICAL EMBEDDINGS OF HARDY SPACES INTO FUNCTION LATTICES

被引：0

作者：

Mleczko, Pawel ^{[1
]}

Rzeczkowski, Michal ^{[1
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Umultowska 87, PL-61614 Poznan, Poland

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2019年 / 13卷 / 04期

关键词：

Hardy spaces; rearrangement-invariant spaces; composition operators; Carleson measures; INTERPOLATION;

D O I：

10.1215/17358787-2019-0013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study general variants of spaces of holomorphic functions on circular domains on the complex plane. We define Hardy-type spaces generated by Banach function lattices, for which we prove the Carleson theorem. We also analyze canonical embeddings of such spaces into appropriate function lattices. Finally, we study composition operators on Hardy-type spaces on circular domains and characterize order-boundedness of such maps.

引用

页码：864 / 883

页数：20

共 47 条

[21] BALAYAGE OF CARLESON MEASURES AND HANKEL-OPERATORS ON GENERALIZED HARDY-SPACES
BONAMI, A
MADAN, S
MATHEMATISCHE NACHRICHTEN, 1991, 153 : 237 - 245
[22] Approximation problems and representations of Hardy spaces in circular domains
Chalendar, I
Partington, JR
STUDIA MATHEMATICA, 1999, 136 (03) : 255 - 269
[23] Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones
Nana, Cyrille
Sehba, Benoit Florent
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2015, 83 (02) : 151 - 178
[24] Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones
Cyrille Nana
Benoît Florent Sehba
Integral Equations and Operator Theory, 2015, 83 : 151 - 178
[25] Some Carleson measures for the Hilbert–Hardy space of tube domains over symmetric cones
David Békollé
Benoît F. Sehba
European Journal of Mathematics, 2019, 5 : 585 - 610
[26] CARLESON EMBEDDINGS FOR HARDY-ORLICZ AND BERGMAN-ORLICZ SPACES OF THE UPPER-HALF PLANE
Dje, Jean Marcel Tanoh
Sehba, Benoit Florent
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2021, 64 (02) : 163 - 201
[27] Carleson measures for Hardy-Sobolev spaces in the Siegel upper half-space
Chalmoukis, N.
Lamberti, G.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 540 (02)
[28] Interpolation between Hardy spaces on circular domains with applications to approximation
I. Chalendar
J. R. Partington
Archiv der Mathematik, 2002, 78 : 223 - 232
[29] Interpolation between Hardy spaces on circular domains with applications to approximation
Chalendar, I
Partington, JR
ARCHIV DER MATHEMATIK, 2002, 78 (03) : 223 - 232
[30] Carleson measures for weighted harmonic mixed norm spaces on bounded domains in ℝn
Ivana Savković
Czechoslovak Mathematical Journal, 2022, 72 : 1205 - 1216

← 1 2 3 4 5 →