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APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES 被引量:11

APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES
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摘要 In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then study the pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers. In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then study the pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2003年第3期328-338,共11页 数学物理学报(B辑英文版)
基金 Xu Jingshi was partially supported by NSF of Hunan in China Yang DaChun was partially supported by NNSF(10271015)and SEDF of China
关键词 Herz-type space Triebel-Lizorkin space pointwise multiplier pseudodifferential operator maximal operator Herz-type space Triebel-Lizorkin space pointwise multiplier pseudodifferential operator maximal operator
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