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Vector-Valued Dirichlet-Type Functions on the Unit Ball of C^n 被引量:1

Vector-Valued Dirichlet-Type Functions on the Unit Ball of C^n
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摘要 The vector-valued Dirichlet-type spaces on the unit ball of C^n isintroduced. We discuss the pointwise multipliers of Dirichlet-type spaces. Sufficient conditions ofthe pointwise multipliers of D_(mu)~2 for 0<=mu <2 if n=1 or D_(mu,q)~2 for 0 =2 aregiven. Finally, Rademacher p-type space is characterized by vector-valued sequence spaces. The vector-valued Dirichlet-type spaces on the unit ball of C^n isintroduced. We discuss the pointwise multipliers of Dirichlet-type spaces. Sufficient conditions ofthe pointwise multipliers of D_(mu)~2 for 0<=mu <2 if n=1 or D_(mu,q)~2 for 0 =2 aregiven. Finally, Rademacher p-type space is characterized by vector-valued sequence spaces.
出处 《Wuhan University Journal of Natural Sciences》 EI CAS 2005年第3期499-503,共5页 武汉大学学报(自然科学英文版)
基金 SupportedbytheNationalNaturalScienceFoun dationofChina(10371093)
关键词 Dirichlet-type space Rademacher p-type space MULTIPLIERS Dirichlet-type space Rademacher p-type space Multipliers
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  • 1Feng Shao-ji.Poi nt wise Multi pliers of Dirichlet Type Spaces on the Unit ball of Cn[].Journal of Syste m Science and Co mplexit y.2001
  • 2HUPENGYAN,SHIJIHUAI.RANDOM DIRICHLET TYPEFUNCTIONS ON THE UNIT BALL OF C^n[J].Chinese Annals of Mathematics,Series B,1999,20(3):369-376. 被引量:7
  • 3Cochran W G,Shpiro J H,Ullrich D C.Rando m Dirichlet Functions : Multi pliers and Smoothness[].Canadian Journal of Mathematics.1993
  • 4Hu Peng-yan,Shi Ji-huai.Rando m Power Series i n Several Co mplex Variables[].Chinese Annals of Mathematics.1999

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