On the Growth of the Dirichlet Integral for Some Function Spaces

被引:0
|
作者
Rauno Aulaskari
Shamil Makhmutov
机构
[1] University of Joensuu,Department of Mathematics
[2] Sultan Qaboos University,College of Science, Department of Mathematics & Statistics
[3] Institute of Mathematics,undefined
关键词
BMOA; the Bloch space; 30D45; 30D50;
D O I
10.1007/BF03321699
中图分类号
学科分类号
摘要
The growth of the Dirichlet integral for functions belonging to Qp but not to the Dirichlet space is considered. These results are shown to be sharp in a certain sense.
引用
收藏
页码:475 / 482
页数:7
相关论文
共 50 条
  • [1] Function spaces as Dirichlet spaces
    Jacob, N
    Schilling, RL
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2005, 24 (01): : 3 - 28
  • [2] Embedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spaces
    Zhu, Xiangling
    Qian, Ruishen
    Hu, Nanhui
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (09) : 2303 - 2317
  • [3] Radius of Convexity for Some Integral Operators on Function Spaces
    Parvaneh Najmadi
    Shahram Najafzadeh
    Ali Ebadian
    Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 3029 - 3035
  • [4] Radius of Convexity for Some Integral Operators on Function Spaces
    Najmadi, Parvaneh
    Najafzadeh, Shahram
    Ebadian, Ali
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A6): : 3029 - 3035
  • [5] Composition operators and embedding theorems for some function spaces of Dirichlet series
    Frédéric Bayart
    Ole Fredrik Brevig
    Mathematische Zeitschrift, 2019, 293 : 989 - 1014
  • [6] Composition operators and embedding theorems for some function spaces of Dirichlet series
    Bayart, Frederic
    Brevig, Ole Fredrik
    MATHEMATISCHE ZEITSCHRIFT, 2019, 293 (3-4) : 989 - 1014
  • [7] THE BOUNDEDNESS OF SOME INTEGRAL OPERATORS IN A NEW CLASS OF FUNCTION SPACES
    张文冬
    ActaMathematicaScientia, 1984, (04) : 481 - 496
  • [8] A class of integral operators from weighted integral transforms to Dirichlet spaces
    Subhadarsini, Elina
    Sharma, Ajay K.
    COGENT MATHEMATICS, 2016, 3
  • [9] Some notes on function spaces and Dirichlet forms on self-similar sets
    Liu, Yuan
    Wen, Zhi-Ying
    ADVANCED NONLINEAR STUDIES, 2006, 6 (03) : 379 - 398
  • [10] Integral Operator Acting on Weighted Dirichlet Spaces to Morrey Type Spaces
    Yang, Liu
    FILOMAT, 2019, 33 (12) : 3723 - 3736