PARAEXPONENTIALS, MUCKENHOUPT-WEIGHTS, AND RESOLVENTS OF PARAPRODUCTS

Authors
PEREYRA MC WARD LA
Citation
Mc. Pereyra et La. Ward, PARAEXPONENTIALS, MUCKENHOUPT-WEIGHTS, AND RESOLVENTS OF PARAPRODUCTS, Proceedings of the American Mathematical Society, 126(1), 1998, pp. 135-144
Citations number
10
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
1
Year of publication
1998
Pages
135 - 144
Database
ISI
SICI code
0002-9939(1998)126:1<135:PMAROP>2.0.ZU;2-C
Abstract
We analyze the stability of Muckenhoupt's RHpd and A(p)(d) classes of weights under a nonlinear operation, the lambda-operation. We prove th at the dyadic doubling reverse Holder classes RHpd are not preserved u nder the lambda operation, but the dyadic doubling A(p) classes A(p)(d ) are preserved for 0 less than or equal to lambda less than or equal to 1. We give an application to the structure of resolvent sets of dya dic paraproduct operators.