On Weighted Solutions to (partial derivative)over-bar-Equation in the Upper Half-Plane

被引：0

作者：

Hayrapetyan, F., V ^{[1
,2
]}

Karapetyan, A. H. ^{[1
,2
]}

Karapetyan, A. A. ^{[1
,2
]}

机构：

[1] Natl Acad Sci Republ Armenia, Inst Math, Yerevan, Armenia

[2] Yerevan State Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2021年 / 56卷 / 05期

关键词：

(partial derivative)over-bar-equation; weighted spaces of smooth functions; DERIVATIVE-INTEGRAL REPRESENTATIONS;

D O I：

10.3103/S1068362321050046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper considers the equation partial derivative f(w)/partial derivative(w) over bar = u(w) in the upper half-plane Pi(+). For a function u belonging to the class C-k(k = 1, 2, 3, ..., infinity) and the weighted space L-p(1 <= p < infinity) with a weight of type (Imw)(alpha)vertical bar w + i vertical bar(-gamma), w is an element of Pi(+), a family of solutions f(beta) depending on the complex parameter beta is constructed.

引用

页码：270 / 279

页数：10

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