The Bergman projection on weighted spaces:: L1 and Herz spaces

被引：5
|
作者：
Blasco, O [1 ]
Pérez-Esteva, S
机构：
[1] Univ Valencia, Dept Matemat, E-46100 Valencia, Spain
[2] Univ Nacl Autonoma Mexico, Unidad Cuernavaca, Cuernavaca 62251, Morelos, Mexico
来源：
STUDIA MATHEMATICA | 2002年 / 150卷 / 02期
关键词：
D O I：
10.4064/sm150-2-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
find necessary and sufficient conditions on radial weights w on the unit disc so that the Bergman type projections of Forelli-Rudin are bounded on L-1(w) and in the Herz spaces K-p(q)(w).
引用
收藏
页码：151 / 162
页数：12
相关论文
共 50 条
  • [1] THE BERGMAN PROJECTION ON WEIGHTED NORM SPACES
    BURBEA, J
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1980, 32 (04): : 979 - 986
  • [2] Bergman projection and Bergman spaces
    Deng, YH
    Huang, L
    Zhao, T
    Zheng, DC
    JOURNAL OF OPERATOR THEORY, 2001, 46 (01) : 3 - 24
  • [3] Riemann problem in the weighted spaces L1(ρ)
    H. M. Hayrapetyan
    V. G. Petrosyan
    Journal of Contemporary Mathematical Analysis, 2016, 51 : 249 - 261
  • [4] The Cesaro operator in weighted l1 spaces
    Albanese, Angela A.
    Bonet, Jose
    Ricker, Werner J.
    MATHEMATISCHE NACHRICHTEN, 2018, 291 (07) : 1015 - 1048
  • [5] Pointwise multipliers from weighted Bergman spaces and hardy spaces to weighted Bergman spaces
    Zhao, R
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2004, 29 (01) : 139 - 150
  • [6] Weighted Bergman Spaces
    Luis Javier Carmona, L.
    Feliciano Resendis Ocampo, Lino
    Manuel Tovar Sanchez, Luis
    HYPERCOMPLEX ANALYSIS: NEW PERSPECTIVES AND APPLICATIONS, 2014, : 89 - 110
  • [7] Discrete fragmentation systems in weighted l1 spaces
    Kerr, Lyndsay
    Lamb, Wilson
    Langer, Matthias
    JOURNAL OF EVOLUTION EQUATIONS, 2020, 20 (04) : 1419 - 1451
  • [8] Infinite matrices bounded on weighted l1 spaces
    Williams, Joseph J.
    Ye, Qiang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (12) : 4689 - 4700
  • [9] SPECTRAL ANALYSIS IN WEIGHTED L1 SPACES ON R
    VRETBLAD, A
    ARKIV FOR MATEMATIK, 1973, 11 (01): : 109 - 138
  • [10] Operators on weighted Bergman spaces
    Blasco, Oscar
    Bergman Spaces and Related Topics in Complex Analysis, Proceedings, 2006, 404 : 53 - 66
12345