Interpolating Sequences of Parabolic Bergman Spaces

被引:0
|
作者
Masaharu Nishio
Noriaki Suzuki
Masahiro Yamada
机构
[1] Osaka City University,Department of Mathematics
[2] Nagoya University,Graduate School of Mathematics
[3] Gifu University,Department of Mathematics, Faculty of Education
来源
Potential Analysis | 2008年 / 28卷
关键词
Bergman space; Interpolating sequence; Parabolic operator of fractional order; Primary 35K05; Secondary 26D10; 31B10;
D O I
暂无
中图分类号
学科分类号
摘要
The parabolic Bergman space is a Banach space of Lp-solutions of some parabolic equations on the upper half-space H. We study interpolating theorem for these spaces. It is shown that if a sequence in H is δ-separated with δ sufficiently near 1, then it interpolates on parabolic Bergman spaces.
引用
收藏
相关论文
共 50 条
  • [31] Interpolating Sequences and Ideals in Dirichlet Spaces of Bounded Functions
    Yang, Jun
    Fan, Qingzhai
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (01) : 139 - 149
  • [32] CARLESON INTERPOLATING SEQUENCES FOR BANACH SPACES OF ANALYTIC FUNCTIONS
    Lindstrom, Mikael
    Mastylo, Mieczyslaw
    Mleczko, Pawel
    Norrbo, David
    Rzeczkowski, Michal
    JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2022, 21 (06) : 1915 - 1945
  • [33] Interpolating sequences for Bargmann-Fock spaces in Cn
    Massaneda, X
    Thomas, PJ
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2000, 11 (01): : 115 - 127
  • [34] Interpolating and uniqueness sequences for de Branges–Rovnyak spaces
    Ching-on Lo
    Anthony Wai-keung Loh
    Ricerche di Matematica, 2023, 72 : 33 - 44
  • [35] Interpolating Sequences and Ideals in Dirichlet Spaces of Bounded Functions
    Jun Yang
    Qingzhai Fan
    Complex Analysis and Operator Theory, 2017, 11 : 139 - 149
  • [36] Inclusions Between Spaces of Interpolating Sequences for Banach Bargmann-Fock Spaces
    El Aidi, Mohammed
    KYUNGPOOK MATHEMATICAL JOURNAL, 2025, 65 (01): : 77 - 85
  • [37] POSITIVE TOEPLITZ OPERATORS OF FINITE RANK ON THE PARABOLIC BERGMAN SPACES
    Nishio, Masaharu
    Suzuki, Noriaki
    Yamada, Masahiro
    KODAI MATHEMATICAL JOURNAL, 2013, 36 (01) : 38 - 49
  • [38] A conjugate system and tangential derivative norms on parabolic Bergman spaces
    Hishikawa, Yosuke
    Nishio, Masaharu
    Yamada, Masahiro
    HOKKAIDO MATHEMATICAL JOURNAL, 2010, 39 (01) : 85 - 114
  • [40] Quasi-parabolic Composition Operators on Weighted Bergman Spaces
    Uğur Gül
    Complex Analysis and Operator Theory, 2018, 12 : 55 - 79