Some properties of analytic in a disk functions with applications to the study of the behavior of singular integrals

被引：0
|
作者：
R. B. Salimov
机构：
[1] Kazan State University of Architecture and Engineering,
来源：
Russian Mathematics | 2012年 / 56卷 / 3期
关键词：
analytic function; Schwarz formula; singular integral; Hilbert kernel;
D O I：
10.3103/S1066369X12030061
中图分类号：
学科分类号：
摘要：
We obtain representations for an analytic in a disc function such that its real part has a zero of an integer order at a fixed boundary point. We consider certain applications of these representations for studying properties of singular integrals with Hilbert kernel.
引用
收藏
页码：36 / 44
页数：8
相关论文
共 50 条
  • [31] SINGULAR INTEGRALS OF SUBORDINATORS WITH APPLICATIONS TO STRUCTURAL PROPERTIES OF SPDES
    Deng, Chang-Song
    Schilling, Rene L.
    Xu, Lihu
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 375 (09) : 6043 - 6073
  • [32] Integrability Properties of Functions with a Given Behavior of Distribution Functions and Some Applications
    Kovalevsky, A. A.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2020, 308 (SUPPL 1) : S112 - S126
  • [33] Integrability properties of functions with a given behavior of distribution functions and some applications
    Kovalevsky, A. A.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2019, 25 (01): : 78 - 92
  • [34] Integrability Properties of Functions with a Given Behavior of Distribution Functions and Some Applications
    A. A. Kovalevsky
    Proceedings of the Steklov Institute of Mathematics, 2020, 308 : 112 - 126
  • [35] Some Properties for Subordinations of Analytic Functions
    Guney, Hatun Ozlem
    Breaz, Daniel
    Owa, Shigeyoshi
    AXIOMS, 2023, 12 (02)
  • [36] Some convolution properties of analytic functions
    Lashin, AY
    APPLIED MATHEMATICS LETTERS, 2005, 18 (02) : 135 - 138
  • [37] Some Properties of a Class of Analytic Functions
    Xu, Neng
    Raina, R. K.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2019, 37 (04): : 173 - 186
  • [38] Some Properties Subclasses of Analytic Functions
    Frasin, Basem Aref
    KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (04): : 531 - 543
  • [39] Some characteristic properties of analytic functions
    Raina, R. K.
    Sharma, Poonam
    Salagean, G. S.
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (01): : 353 - 369
  • [40] ON SOME PROPERTIES OF ANALYTIC AND MEROMORPHIC FUNCTIONS
    Nunokawa, M.
    Goyal, S. P.
    Kumar, R.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (03): : 159 - 164
12345