Hardy空间上的双层势算子

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2023-02-08 DOI:10.1007/s10476-023-0202-x

Y. Komori-Furuya

引用次数: 0

摘要

对一维柯西积分算子进行了大量的研究。我们考虑超曲面的n维Cauchy积分算子，或者说双层势算子，得到了从Hp（Rn）到Hp（Rn，局部Hardy空间）的有界性。对于证明，我们引入Clifford值Hardy空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Double Layer Potential Operator on Hardy Spaces

Many studies have been done for one-dimensional Cauchy integral operator. We consider n-dimensional Cauchy integral operator for hypersurface, or we say, the double layer potential operator, and obtain the boundedness from H^p(Rⁿ) to h^p(Rⁿ) (local Hardy space). For the proof we introduce Clifford valued Hardy spaces.

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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.