On Some Integral Operators Related to the Poisson Equation

被引：7

作者：

Kalaj, David ^{[1
]}

机构：

[1] Univ Montenegro, Fac Nat Sci & Math, Podgorica 81000, Montenegro

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2012年 / 72卷 / 04期

关键词：

Poisson equation; eigenvalues and eigenfunctions; integral operators; CAUCHY TRANSFORM;

D O I：

10.1007/s00020-012-1952-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we estimate various norms of some integral operators related to the Poisson equation defined in a bounded domain in the complex plane with vanishing boundary data.

引用

页码：563 / 575

页数：13

共 9 条

[1] SPECTRAL PROPERTIES OF SOME INTEGRAL-OPERATORS ARISING IN POTENTIAL-THEORY [J].

ANDERSON, JM ;

KHAVINSON, D ;

LOMONOSOV, V .

QUARTERLY JOURNAL OF MATHEMATICS, 1992, 43 (172) :387-407

[2] THE CAUCHY TRANSFORM ON BOUNDED DOMAINS [J].

ANDERSON, JM ;

HINKKANEN, A .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 107 (01) :179-185

[3]

[Anonymous], 2009, PRINCETON MATH SERIE

[4]

Dostanic M., 1996, J. Oper. Theory, V36, P233

[5] Norm estimate of the Cauchy transform on Lp(Ω) [J].

Dostanic, MR .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2005, 52 (04) :465-475

[6]

Gilbarg D., 1983, ELLIPTIC PARTIAL DIF, V2nd

[7]

Kalaj D, ARXIV10033822

[8]

Mihlin S. G., 1977, LINEAR PARTIAL DIFFE

[9]

Ransford T., 1995, Potential Theory in the Complex Plane

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