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Factorization of Tent Spaces and Hankel Operators

โœ Scribed by W.S. Cohn; I.E. Verbitsky

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
187 KB
Volume
175
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

It is shown that the factorization T p q =T p } T q for tent spaces proved by R. R. Coifman et al. (1985, J. Funct. Anal. 62, 304 335) for p>q, q=2, holds true for all 0<p, q< . From this certain strong factorization theorems are derived for spaces H p s of fractional derivatives of H p functions, and more general Triebel spaces. In particular, it is proved that H p s =H p } BMOA s . Applications considered include characterizations of symbols of bounded Hankel operators H , : H p ร„ H q s , complex interpolation of tent spaces, and Carleson measure theorems for derivatives of H p functions.

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