Sobolev Mapping of Some Holomorphic Projections

被引：13

作者：

Edholm, L. D. ^{[1
]}

McNeal, J. D. ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2020年 / 30卷 / 02期

关键词：

Bergman projection; Sobolev spaces; Hartogs triangles; BERGMAN PROJECTION; PSEUDOCONVEX DOMAINS; SZEGO PROJECTIONS; REGULARITY; IRREGULARITY; BEHAVIOR; OPERATOR; KERNELS;

D O I：

10.1007/s12220-019-00345-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sobolev irregularity of the Bergman projection on a family of domains containing the Hartogs triangle is shown. On the Hartogs triangle itself, a sub-Bergman projection is shown to satisfy better Sobolev norm estimates than its Bergman projection.

引用

页码：1293 / 1311

页数：19

共 35 条

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