Multipliers on Dirichlet Type Spaces

Authors
Hu, Peng Yan Shi, Ji Huai
Citation
Hu, Peng Yan et Shi, Ji Huai, Multipliers on Dirichlet Type Spaces, Acta mathematica Sinica. English series (Print) , 17(2), 2000, pp. 263-272
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
17
Issue
2
Year of publication
2000
Pages
263 - 272
Database
ACNP
SICI code
Abstract
In this paper, we characterize the pointwise multiplier space M (D , D ) of Dirichlet type spaces in the unit ball of C n for the values of , in three cases: (i) > 0, > 0, (ii) > , (iii) , > n, and construct two functions to show that M(D ) D properly if n and M(D ) M(D ) properly if > and > n 1.