Boundary conjugation problem for piecewise analytic functions in Besov spaces

被引：0

作者：

Bliev, N. K. ^{[1
]}

Yerkinbayev, N. M. ^{[1
]}

机构：

[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 05期

关键词：

Boundary value conjugation problems; piecewise-analytic functions; Cauchy type integrals; Besov spaces; RIEMANN-HILBERT PROBLEM; CAUCHY TYPE INTEGRALS;

D O I：

10.1080/17476933.2023.2164887

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this work is to show the solvability of the homogeneous and inhomogeneous boundary conjugation problems for piecewise analytic functions in the Besov space, which is embedded into the class of continuous functions.

引用

页码：849 / 856

页数：8

共 50 条

[41] Spectral Properties of Two Classes of Averaging Operators on the Little Bloch Space and the Analytic Besov Spaces
E. Albrecht
T. L. Miller
Complex Analysis and Operator Theory, 2014, 8 : 129 - 157
[42] Spectral Properties of Two Classes of Averaging Operators on the Little Bloch Space and the Analytic Besov Spaces
Albrecht, E.
Miller, T. L.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2014, 8 (01) : 129 - 157
[43] On the Cauchy problem for the fractional drift- diffusion system in critical Besov spaces
Zhao, Jihong
Liu, Qiao
APPLICABLE ANALYSIS, 2014, 93 (07) : 1431 - 1450
[44] Growth envelope functions in Besov and Sobolev spaces. Local versus global results
Haroske, Dorothee D.
MATHEMATISCHE NACHRICHTEN, 2007, 280 (9-10) : 1094 - 1107
[45] On the initial value problem for the two-coupled Camassa–Holm system in Besov spaces
Haiquan Wang
Gezi Chong
Monatshefte für Mathematik, 2020, 193 : 479 - 505
[46] Mild solutions to a time-fractional Cauchy problem with nonlocal nonlinearity in Besov spaces
Nguyen Huy Tuan
Vo Van Au
Anh Tuan Nguyen
ARCHIV DER MATHEMATIK, 2022, 118 (03) : 305 - 314
[47] Mild solutions to a time-fractional Cauchy problem with nonlocal nonlinearity in Besov spaces
Nguyen Huy Tuan
Vo Van Au
Anh Tuan Nguyen
Archiv der Mathematik, 2022, 118 : 305 - 314
[48] Traces of functions in Hardy and Besov spaces on Lipschitz domains with applications to compensated compactness and the theory of Hardy and Bergman type spaces
Jakab, Tunde
Mitrea, Irina
Mitrea, Marius
JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 246 (01) : 50 - 112
[49] On the Hausdorff Dimension of Continuous Functions Belonging to Holder and Besov Spaces on Fractal d-Sets
Carvalho, Abel
Caetano, Antonio
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2012, 18 (02) : 386 - 409
[50] Some Boundary Problems of Theory of Analytic Functions for a Disk with Cuts
Kutateladze, Guram
PROCEEDINGS OF THE WSEAS INTERNATIONAL CONFERENCE ON FINITE DIFFERENCES, FINITE ELEMENTS, FINITE VOLUMES, BOUNDARY ELEMENTS, 2009, : 121 - 123

← 1 2 3 4 5 →