Irregularity of the Szego Projection on Bounded Pseudoconvex Domains in C2

被引:0
作者
Munasinghe, Samangi [1 ]
Zeytuncu, Yunus E. [2 ]
机构
[1] Western Kentucky Univ, Dept Math, Bowling Green, KY 42101 USA
[2] Univ Michigan, Dept Math & Stat, Dearborn, MI 48128 USA
关键词
Szego projection; Forelli-Rudin inflation principle; weighted Hardy spaces; BERGMAN PROJECTIONS; SPACES;
D O I
10.1007/s00020-015-2227-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct bounded pseudoconvex domains in C-2 for which the Szego projection operators are unbounded on L-p spaces of the boundary for all p not equal 2.
引用
收藏
页码:417 / 422
页数:6
相关论文
共 17 条
[1]  
Barrett DE, 2006, MATH SCAND, V98, P69
[2]   PROJECTIONS ON HOLOMORPHIC FUNCTION-SPACES IN PLANAR DOMAINS [J].
BEKOLLE, D .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1986, 38 (01) :127-157
[3]  
Bekolle D., 1995, Colloq. Math., V68, P81
[4]   Estimates for the Bergman and Szego projections for pseudoconvex domains of finite type with locally diagonalizable Levi form [J].
Charpentier, Philippe ;
Dupain, Yves .
PUBLICACIONS MATEMATIQUES, 2006, 50 (02) :413-446
[5]   Unboundedness of the Bergman projections on LP spaces with exponential weights [J].
Dostanic, MR .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2004, 47 :111-117
[6]  
Englis Miroslav, 2006, COMPLEX VAR ELLIPTIC, V51, P277, DOI 10.1080/17476930500515017
[7]   Decomposition theorems for Hardy spaces on convex domains of finite type [J].
Grellier, S ;
Peloso, MM .
ILLINOIS JOURNAL OF MATHEMATICS, 2002, 46 (01) :207-232
[8]   MAPPING PROPERTIES OF THE SZEGO OPERATOR FOR THE BIDISC [J].
KNOPF, PM .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (01) :59-74
[9]   Szego and Bergman projections on non-smooth planar domains [J].
Lanzani, L ;
Stein, EM .
JOURNAL OF GEOMETRIC ANALYSIS, 2004, 14 (01) :63-86
[10]   Cauchy-type integrals in several complex variables [J].
Lanzani, Loredana ;
Stein, Elias M. .
BULLETIN OF MATHEMATICAL SCIENCES, 2013, 3 (02) :241-285