Multidimensional Hausdorff Operator on p-Adic Field

被引：0
|
作者：
Volosivets, S. S. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Fac Mech & Math, Astrakhanskaya Str 83, Saratov 410028, Russia
来源：
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2010年 / 2卷 / 03期
关键词：
Hausdorff operator; p-adic Hardy space; p-adic BMO space; p-adic Fourier transform; Titchmarsh-type theorem;
D O I：
10.1134/S2070046610030076
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
p-Adic analogs of Hausdorff operator are introduced. Sufficient conditions of its boundedness in p-adic Hardy and BMO spaces are given. The Titchmarsh-type theorem about commuting relations between Hausdorff operator, its conjugate and p-adic Fourier transform is established.
引用
收藏
页码：252 / 259
页数：8
相关论文
共 50 条
  • [21] ON p-ADIC MULTIDIMENSIONAL CONTINUED FRACTIONS
    Murru, Nadir
    Terracini, Lea
    MATHEMATICS OF COMPUTATION, 2019, 88 (320) : 2913 - 2934
  • [22] The multidimensional p-adic Green function
    Chuong, NM
    Co, NV
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (03) : 685 - 694
  • [23] On the spectrum of the p-adic position operator
    Albeverio, S
    Cianci, R
    Khrennikov, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (03): : 881 - 889
  • [24] Aspects of p-adic operator algebras
    Claussnitzer, Anton
    Thom, Andreas
    MUENSTER JOURNAL OF MATHEMATICS, 2020, 13 (02): : 425 - 444
  • [25] p-adic vertex operator algebras
    Cameron Franc
    Geoffrey Mason
    Research in Number Theory, 2023, 9
  • [26] On the spectrum of the p-adic position operator
    Albeverio, S.
    Cianci, R.
    Khrennikov, A.
    Journal of Physics A: Mathematical and General, 30 (03):
  • [27] p-adic vertex operator algebras
    Franc, Cameron
    Mason, Geoffrey
    RESEARCH IN NUMBER THEORY, 2023, 9 (02)
  • [28] Weak and strong estimates for rough Hausdorff type operator defined on p-adic linear space
    Volosivets S.S.
    p-Adic Numbers, Ultrametric Analysis and Applications, 2017, 9 (3) : 236 - 241
  • [29] Boundedness for Commutators of Rough p-Adic Hardy Operator on p-Adic Central Morrey Spaces
    Sarfraz, Naqash
    Aslam, Muhammad
    Jarad, Fahd
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [30] Multidimensional p-Adic Wavelets for the Deformed Metric
    Albeverio, Sergio
    Kozyrev, Sergei, V
    P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2010, 2 (04) : 265 - 277
12345