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ATOMIC DECOMPOSITION OF WEIGHTED TRIEBEL–LIZORKIN SPACES ON SPACES OF HOMOGENEOUS TYPE

Published online by Cambridge University Press:  25 January 2011

JI LI*
Affiliation:
Department of Mathematics, Sun Yat-sen University, Guangzhou, PR China (email: liji6@mail.sysu.edu.cn)
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Abstract

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We obtain an atomic decomposition for weighted Triebel–Lizorkin spaces on spaces of homogeneous type, using the area function, the discrete Calderón reproducing formula and discrete sequence spaces.

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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