Continuity and compactness of singular integral operators

被引：0
|
作者：
B. G. Gabdulkhaev
机构：
[1] Kazan State University,
来源：
Russian Mathematics | 2009年 / 53卷 / 8期
关键词：
space of square integrable functions; singular integral with Cauchy kernel; linear operator; continuity; compactness;
D O I：
10.3103/S1066369X09080015
中图分类号：
学科分类号：
摘要：
In the space of square integrable functions we establish effective sufficient continuity and compactness conditions for singular integral operators with Cauchy kernels on a segment of the real axis.
引用
收藏
页码：1 / 7
页数：6
相关论文
共 50 条
  • [21] On weighted compactness of commutators of bilinear maximal Calderon-Zygmund singular integral operators
    Wang, Shifen
    Xue, Qingying
    [J]. FORUM MATHEMATICUM, 2022, 34 (02) : 307 - 322
  • [22] On Weighted Compactness of Commutators of Bilinear Vector-valued Singular Integral Operators and Applications
    Zhengyang Li
    Liu Lu
    Fanghui Liao
    Qingying Xue
    [J]. Acta Mathematica Sinica,English Series., 2025, (01) - 190
  • [23] ON SINGULAR INTEGRAL OPERATORS
    SHINBROT, M
    [J]. JOURNAL OF MATHEMATICS AND MECHANICS, 1964, 13 (03): : 395 - &
  • [24] Compactness Criteria for Fractional Integral Operators
    Vakhtang Kokilashvili
    Mieczysław Mastyło
    Alexander Meskhi
    [J]. Fractional Calculus and Applied Analysis, 2019, 22 : 1269 - 1283
  • [25] COMPACTNESS OF INTEGRAL OPERATORS ON BANACH LATTICES
    NAGEL, RJ
    SCHLOTTE.U
    [J]. MATHEMATISCHE ANNALEN, 1973, 202 (04) : 301 - 306
  • [26] COMPACTNESS CRITERIA FOR FRACTIONAL INTEGRAL OPERATORS
    Kokilashvili, Vakhtang
    Mastylo, Mieczyslaw
    Meskhi, Alexander
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2019, 22 (05) : 1269 - 1283
  • [27] COMPACTNESS OF CERTAIN INTEGRAL-OPERATORS
    GRAHAM, IG
    SLOAN, IH
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 68 (02) : 580 - 594
  • [28] Introducing Statistical Operators: Boundedness, Continuity, and Compactness
    Bayram, E.
    Kucukaslan, M.
    Et, E.
    Aydin, A.
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (05) : 1214 - 1226
  • [29] INTEGRAL OPERATORS AND COMPACTNESS OF INDUCED REPRESENTATIONS
    BUSBY, RC
    SCHOCHET.I
    SMITH, HA
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 164 (NFEB) : 461 - &
  • [30] On the boundedness and compactness of a class of integral operators
    Prokhorov, DV
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 61 : 617 - 628
12345