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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Embedding $B_\infty$ into Muckenhoupt classes

Author(s): Themis Mitsis
Journal: Proc. Amer. Math. Soc. 133 (2005), 1057-1061.
MSC (2000): Primary 42B25
Posted: November 3, 2004
MathSciNet review: 2117206
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Abstract | References | Similar articles | Additional information

Abstract: What is the smallest $p$ for which a weight in the reverse Hölder class $B_\infty$ also belongs to the Muckenhoupt class $A_p$? We give an asymptotically sharp answer to this question.


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D. Cruz-Uribe, C.J. Neugebauer. The structure of the reverse Hölder classes. Trans. Amer. Math. Soc. 347 (1995), no. 8, 2941-2960. MR 1308005 (95m:42026)

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B. Muckenhoupt. Weighted reverse weak type inequalities for the Hardy-Littlewood maximal function. Pacific J. Math. 117 (1985), no. 2, 371-377. MR 0779926 (86j:42025)

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E. M. Stein. Note on the class $L\log L$. Studia Math. 32 (1969), 305-310. MR 0247534 (40:799)


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Additional Information:

Themis Mitsis
Affiliation: Department of Mathematics, University of Crete, Knossos Ave., 71409 Iraklio, Greece
Email: mitsis@fourier.math.uoc.gr

DOI: 10.1090/S0002-9939-04-07803-7
PII: S 0002-9939(04)07803-7
Received by editor(s): October 14, 2003
Posted: November 3, 2004
Communicated by: Andreas Seeger
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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