LP regularity of Szego projections on quotient domains

被引:0
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作者
Ghosh, Abhishek [1 ]
Ghosh, Gargi [2 ,3 ]
机构
[1] Tifr, Ctr Applicable Math, Bangalore 560065, India
[2] Indian Inst Sci, Bangalore 560012, India
[3] Silesian Univ Opava, Opava 74601, Czech Republic
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关键词
Lp regularity; Szego projection; Hardy space; quotient domains; WEIGHTED NORM INEQUALITIES; BERGMAN; KERNEL; SPACES;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce a family of Hardy spaces {H-(sic)} ((sic)EG)1 on the distinguished boundary of the quotient domain Dn/G, where G is a finite pseudoreflection group acting on Dn and Gs1 is the set of equivalence classes of one-dimensional representations of G. We establish a uniform platform to study L-p regularity properties of the generalized Szego projections associated to Hardy spaces .7-C% for every (sic) ? G1.
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页码:911 / 930
页数:20
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