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

共 50 条

[41] HOLDER ESTIMATES FOR THE (partial derivative)over-bar-EQUATION ON SURFACES WITH SINGULARITIES OF THE TYPE E6 AND E7
Acosta, F.
Zeron, E. S.
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2007, 13 (01): : 73 - 86
[42] PATH INTEGRATION ON THE UPPER HALF-PLANE
KUBO, R
PROGRESS OF THEORETICAL PHYSICS, 1987, 78 (04): : 755 - 759
[43] REPRODUCING KERNELS OF WEIGHTED POLY-BERGMAN SPACES ON THE UPPER HALF-PLANE
Ortega, Josue Ramirez
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2007, 13 (02): : 345 - 356
[44] Weighted composition operators between Hardy and growth spaces on the upper half-plane
Stevic, Stevo
Sharma, Ajay K.
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (10) : 4928 - 4934
[45] Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half-Plane
Ajanki, Oskari
Erdos, Laszlo
Krueger, Torben
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2017, 70 (09) : 1672 - 1705
[46] Kadomtsev–Petviashvili Equation on the Half-Plane
E. V. Gudkova
I. T. Habibullin
Theoretical and Mathematical Physics, 2004, 140 : 1086 - 1094
[47] The Helmholtz equation with impedance in a half-plane
Durán, M
Muga, I
Nédélec, JC
COMPTES RENDUS MATHEMATIQUE, 2005, 340 (07) : 483 - 488
[48] THE THEORY OF HARDY-SOBOLEV SPACES OVER THE UPPER HALF-PLANE
Liu, Detian
Li, Haichou
Kou, Kit ian
Qu, Wei
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2025, 9 (02): : 247 - 262
[49] THE THEORY OF HARDY-SOBOLEV SPACES OVER THE UPPER HALF-PLANE
Liu, Detian
Li, Haichou
Kou, Kit Ian
Qu, Wei
Journal of Nonlinear and Variational Analysis, 2 (247-262):
[50] Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane
Bo Chen
Yao Sun
Zibo Zhuang
Boundary Value Problems, 2019

← 1 2 3 4 5 →