Boundary Value Problems in Weighted Spaces of Polyanalytic Functions in Half-Plane

被引：7

作者：

Hayrapetyan, H. M. ^{[1
]}

Hayrapetyan, A. R. ^{[1
]}

机构：

[1] Yerevan State Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2012年 / 47卷 / 01期

关键词：

Improperly ellipticity; boundary value problem; weighted spaces; Dirichlet problem;

D O I：

10.3103/S1068362312010013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper investigates the Schwarz type boundary value problem for polyanalytic functions when the boundary functions belong to weighted space L-1(rho).

引用

页码：1 / 15

页数：15

共 13 条

[1]

[Anonymous], 1968, SINGULAR INTEGRAL EQ

[2]

BALK MB, 1970, USP MAT NAUK, V25, P203

[3]

Begehr H., 2004, SCHWARZ PROBLEM POLY

[4]

Begehr H., 2005, INT MATH J ANAL ITS, V25, P55

[5]

Begehr H., 2006, Appl. Anal., V85, P1045, DOI [10.1080/00036810600835110, DOI 10.1080/00036810600835110]

[6]

Bitsadze AV., 1968, BOUNDARY VALUE PROBL

[7]

Hayrapetyan H. M., 2004, MAT ZAMETKI, V76, P643

[8]

Hayrapetyan H. M., 2010, J CONTEMP MATH ANAL, V45, P3

[9]

Hayrapetyan H. M., 1996, J CONT MATH ANAL AM, V31, P24

[10]

Nicolescu M., 1936, FONCTIONS POLIHARMON

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