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EQUIVALENCY BETWEEN THE GENERALIZED CARLESON MEASURE SPACES AND TRIEBEL-LIZORKIN-TYPE SPACES

Chin-Cheng Lin and Kunchuan Wang
Taiwanese Journal of Mathematics
Vol. 15, No. 2 (April 2011), pp. 919-926
Stable URL: http://www.jstor.org/stable/taiwjmath.15.2.919
Page Count: 8
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EQUIVALENCY BETWEEN THE GENERALIZED CARLESON MEASURE SPACES AND TRIEBEL-LIZORKIN-TYPE SPACES
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Abstract

Abstract In this note, we show that the homogeneous Triebel-Lizorkin-type spaces F˙p,qα,τ with four parameters defined in [7, 8] is essentially same as the generalized Carleson measure space CMOrα,q introduced in [6] with equivalent norms. 2010 Mathematics Subject Classification: 42B35. Key words and phrases: Carleson measure spaces, Triebel-Lizorkin spaces.

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