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
收藏
页码：849 / 856
页数：8
相关论文
共 50 条
  • [21] Bloch, Besov and Dirichlet Spaces of Slice Hyperholomorphic Functions
    Castillo Villalba, C. Marco Polo
    Colombo, Fabrizio
    Gantner, Jonathan
    Oscar Gonzalez-Cervantes, J.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (02) : 479 - 517
  • [22] Integral Operators on the Besov Spaces and Subclasses of Univalent Functions
    Orouji, Zahra
    Ebadian, Ali
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2020, 17 (04): : 61 - 69
  • [23] Bloch, Besov and Dirichlet Spaces of Slice Hyperholomorphic Functions
    C. Marco Polo Castillo Villalba
    Fabrizio Colombo
    Jonathan Gantner
    J. Oscar González-Cervantes
    Complex Analysis and Operator Theory, 2015, 9 : 479 - 517
  • [24] The Cauchy problem for semilinear parabolic equations in Besov spaces
    Miao, CX
    Zhang, B
    HOUSTON JOURNAL OF MATHEMATICS, 2004, 30 (03): : 829 - 878
  • [25] Analytic Semigroup Approach to Generalized Navier–Stokes Flows in Besov Spaces
    Zhi-Min Chen
    Journal of Mathematical Fluid Mechanics, 2017, 19 : 709 - 724
  • [26] Besov spaces of analytic type: Interpolation, convolution, Fourier multipliers, inclusions
    Calzi, Mattia
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 526 (02)
  • [27] Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces
    Fan, Dashan
    Zhao, Fayou
    ANALYSIS IN THEORY AND APPLICATIONS, 2021, 37 (03): : 267 - 288
  • [28] Regularity estimates for elliptic boundary value problems in Besov spaces
    Bacuta, C
    Bramble, JH
    Xu, JC
    MATHEMATICS OF COMPUTATION, 2003, 72 (244) : 1577 - 1595
  • [29] SOME CALCULUS OF THE COMPOSITION OF FUNCTIONS IN BESOV-TYPE SPACES
    Moussai, Madani
    Saadi, Mohamed
    MATEMATICKI VESNIK, 2018, 70 (02): : 120 - 133
  • [30] Haar functions in weighted Besov and Triebel-Lizorkin spaces
    Malecka, Agnieszka
    JOURNAL OF APPROXIMATION THEORY, 2015, 200 : 1 - 27
12345