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Title

A weak molecule condition for certain Triebel-Lizorkin spaces

Authors 1

Affiliations

  1. Department of Mathematics and Statistics, Wright State University, Dayton, Ohio 45435, U.S.A.

Abstract

A weak molecule condition is given for the Triebel-Lizorkin spaces Ḟpα,q, with 0 < α < 1 and 1 < p, q < ∞. As an easy corollary, one may deduce, by atomic-molecular methods, a Triebel-Lizorkin space "T1" Theorem of Han and Sawyer, and Han, Jawerth, Taibleson and Weiss, for Calderón-Zygmund kernels K(x,y) which are not assumed to satisfy any regularity condition in the y variable.

Bibliography

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Studia Mathematica
1991-1992/101/2
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Pages:
113-122
Main language of publication
English
Received
1990-05-04
Accepted
1991-05-07
Published
1992
Exact and natural sciences