On interpolation for Hormander's algebras

被引：0
|
作者：
Li Bao Qin [1 ]
机构：
[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA
来源：
SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 03期
关键词：
weight; pseudoconvex set; Hormander's algebra; interpolating variety; plurisubharmonic function; holomorphic function; entire function; TRANSCENDENTAL BEZOUT-PROBLEM; C-N; GEOMETRIC CHARACTERIZATION; EXPONENTIAL-POLYNOMIALS; HOLOMORPHIC MAPPINGS; DENSITY CONDITIONS; VARIETIES; AREA; BALL; THEOREM;
D O I：
10.1007/s11425-010-0055-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss some recent results on interpolation problems for weighted Hormander's algebras of holomorphic functions in several complex variables, and also give a sharp estimate on counting functions of interpolating varieties.
引用
收藏
页码：763 / 770
页数：8
相关论文
共 50 条
  • [1] CLASSICAL OPERATORS ON THE HORMANDER ALGEBRAS
    Jose Beltran, Maria
    Bonet, Jose
    Fernandez, Carmen
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (02) : 637 - 652
  • [2] Traces of Hormander Algebras on Discrete Sequences
    Massaneda, Xavier
    Ortega-Cerda, Joaquim
    Ounaies, Myriam
    ANALYSIS AND MATHEMATICAL PHYSICS-BOOK, 2009, : 397 - +
  • [3] On interpolation for Hörmander’s algebras
    Bao Qin Li
    Science China Mathematics, 2010, 53 : 763 - 770
  • [4] On interpolation for Hrmander’s algebras
    LI Bao Qin Department of Mathematics
    ScienceChina(Mathematics), 2010, 53 (03) : 763 - 770
  • [5] CLOSED PRINCIPAL IDEALS IN NONRADIAL HORMANDER ALGEBRAS
    MOMM, S
    ARCHIV DER MATHEMATIK, 1992, 58 (01) : 47 - 55
  • [6] Nonradial Hormander algebras of several variables and convolution operators
    Bonet, J
    Galbis, A
    Momm, S
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 353 (06) : 2275 - 2291
  • [7] INTERPOLATION IN W'-ALGEBRAS
    AKEMANN, CA
    DUKE MATHEMATICAL JOURNAL, 1968, 35 (03) : 525 - &
  • [8] Interpolation in semigroupoid algebras
    Dritschel, Michael A.
    Marcantognini, Stefania
    McCullough, Scott
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 606 : 1 - 40
  • [9] On the generalization of Hormander's inequality
    Mughetti, M
    Nicola, F
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2005, 30 (4-6) : 509 - 537
  • [10] The Hormander multiplier theorem, III: the complete bilinear case via interpolation
    Grafakos, Loukas
    Hanh Van Nguyen
    MONATSHEFTE FUR MATHEMATIK, 2019, 190 (04): : 735 - 753
12345