Reproducing Kernels of Some Weighted Bergman Spaces

被引:8
|
作者
Deng, Guan-Tie [1 ]
Huang, Yun [2 ]
Qian, Tao [3 ]
机构
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Univ Macau, Fac Sci & Technol, Dept Math, Macau, Via Hong Kong, Peoples R China
[3] Macau Univ Sci & Technol, Inst Syst Engn, Ave Wai Long, Taipa, Macao, Peoples R China
关键词
Reproducing kernel; Reproducing kernel Hilbert space; Weighted Bergman spaces;
D O I
10.1007/s12220-021-00616-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Herein, the theory of Bergman kernel is developed to the weighted case. A general form of weighted Bergman reproducing kernel is obtained, by which we can calculate concrete Bergman kernel functions for specific weights and domains.
引用
收藏
页码:9527 / 9550
页数:24
相关论文
共 50 条
  • [41] High-power asymptotics of some weighted harmonic Bergman kernels
    Englis, Miroslav
    JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (05) : 1243 - 1261
  • [42] SPLINE FUNCTIONS AND REPRODUCING KERNELS OF ARONSZAJN-BERGMAN
    ATTEIA, M
    REVUE FRANCAISE D AUTOMATIQUE INFORMATIQUE RECHERCHE OPERATIONNELLE, 1970, 4 (NR3): : 31 - 43
  • [43] Analytic continuation of weighted Bergman kernels
    Englis, Miroslav
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2010, 94 (06): : 622 - 650
  • [44] Moment problems for weighted Bergman kernels
    Diederich, K
    Ohsawa, T
    COMPLEX ANALYSIS AND GEOMETRY, 2000, 188 : 111 - 122
  • [45] Weighted Bergman Kernels and Mathematical Physics
    Barletta, Elisabetta
    Dragomir, Sorin
    Esposito, Francesco
    AXIOMS, 2020, 9 (02)
  • [46] The weighted reproducing kernels of the Reinhardt domain
    Fu, Qian
    Deng, Guantie
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (12) : 2048 - 2065
  • [47] A REMARK ON WEIGHTED BERGMAN KERNELS ON ORBIFOLDS
    Dai, Xianzhe
    Liu, Kefeng
    Ma, Xiaonan
    MATHEMATICAL RESEARCH LETTERS, 2012, 19 (01) : 143 - 148
  • [48] ON WEIGHTED BERGMAN KERNELS OF BOUNDED DOMAINS
    DRAGOMIR, S
    STUDIA MATHEMATICA, 1994, 108 (02) : 149 - 157
  • [49] Singularity resolution of weighted Bergman kernels
    Jakobsson, Stefan
    BERGMAN SPACES AND RELATED TOPICS IN COMPLEX ANALYSIS, PROCEEDINGS, 2006, 404 : 121 - 144
  • [50] Toeplitz operators and weighted Bergman kernels
    Englis, Miroslav
    JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 255 (06) : 1419 - 1457