ON EMBEDDINGS, TRACES AND DISTANCES IN HARMONIC FUNCTION SPACES

被引:0
作者
Arsenovic, Milos [1 ]
Shamoyan, Romi F. [2 ]
机构
[1] Univ Belgrade, Dept Math, Belgrade 11000, Serbia
[2] Romanian Acad, Inst Math Simion Stoilow, RO-010702 Bucharest, Romania
来源
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2012年 / 65卷 / 10期
关键词
harmonic functions; distances; traces; embedding theorems;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper is devoted to certain applications of classical Whitney decomposition of the upper half space R-+(n+1) to various problems in harmonic function spaces in the upper half space. We obtain sharp new assertions on embeddings, distances and traces for various spaces of harmonic functions.
引用
收藏
页码:1319 / 1324
页数:6
相关论文
共 11 条
[1]  
[Anonymous], 2001, Bull. Korean Math. Soc
[2]  
[Anonymous], ROMANIAN SOC APPL IN
[3]  
[Anonymous], 2001, COMMENT MATH UNIV CA
[4]  
ARSENOVIC M., 2011, ARXIV11065481
[5]  
DJRBASHIAN A.E., 1987, SOVIET J CONT MATH A, V22, p[386, 74]
[6]  
Grafakos L., 2008, Classical Fourier Analysis, V249
[7]   ON SOME CHARACTERIZATIONS OF CARLESON TYPE MEASURE IN THE UNIT BALL [J].
Shamoyan, Romi .
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2009, 3 (02) :42-48
[8]   ON TRACES OF ANALYTIC Qp TYPE SPACES, MIXED NORM SPACES AND HARMONIC BERGMAN CLASSES ON CERTAIN POLYDOMAINS [J].
Shamoyan, Romi F. ;
Mihic, Olivera R. .
FILOMAT, 2011, 25 (01) :1-19
[9]   ON TRACES OF HOLOMORPHIC FUNCTIONS ON THE UNIT POLYBALL [J].
Shamoyan, Romi F. ;
Mihic, Olivera R. .
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2009, 3 (02) :198-211
[10]   On some inequalities in holomorphic function theory in polydisk related to diagonal mapping [J].
Shamoyan, Romi F. ;
Mihic, Olivera R. .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2010, 60 (02) :351-370