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.
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页码：270 / 279
页数：10
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