Bergman Type Projection on Lipschitz Spaces

被引：0
作者：
Avetisyan, K. [1 ]
机构：
[1] Yerevan State Univ, Yerevan, Armenia
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2024年 / 59卷 / 05期
关键词：
Bergman projection; Lipschitz space; fractional derivative; Poisson-Bergman kernel; MIXED NORM SPACES; UNIT BALL; INTEGRALS; OPERATORS;
D O I：
10.3103/S1068362324700237
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
On the unit ball of R-n, someBergman type operators are definedwith the use of fractional derivatives and reproducing kernels of Poisson-Bergman type, which act boundedly in the Lipschitz spaces. In a special case, these operators continuously map the Lipschitz space of sufficiently smooth functions onto its harmonic subspace.
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页码：317 / 325
页数：9
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