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Herz-type Triebel-Lizorkin Spaces, I 被引量:4

Herz-type Triebel-Lizorkin Spaces, I
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摘要 Let s ∈R,0〈β≤∞, 0〈 q, p〈 ∞ and-n/q〈α. In this paper the authors introduce the Herz-type Triebel-Lizorkin spaces,Kq^α,pFβ^s(R^n)andKq^α,pFβ^s(R^n)which are the generalizations of the well-known Herz-type spaces and the inhomogeneous Triebel-Lizorkin spaces, Some properties on these Herz-type Triebel Lizorkin spaces are also given. Let s ∈R,0〈β≤∞, 0〈 q, p〈 ∞ and-n/q〈α. In this paper the authors introduce the Herz-type Triebel-Lizorkin spaces,Kq^α,pFβ^s(R^n)andKq^α,pFβ^s(R^n)which are the generalizations of the well-known Herz-type spaces and the inhomogeneous Triebel-Lizorkin spaces, Some properties on these Herz-type Triebel Lizorkin spaces are also given.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第3期643-654,共12页 数学学报(英文版)
基金 The first author is partially supported by NNSF (No. 60474070) NSF of Hunan, China (01JJY3003) the second (corresponding) author is partially supported by RFDP (No. 20020027004) and NNSF (No. 10271015)of China
关键词 Herz space Triebel-Lizorkin space Maximal function EMBEDDING MULTIPLIER Lifting property Herz space, Triebel-Lizorkin space, Maximal function, Embedding, Multiplier, Lifting property
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