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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On a multidimensional form of F. Riesz's ``rising sun" lemma


Authors: A. A. Korenovskyy, A. K. Lerner and A. M. Stokolos
Journal: Proc. Amer. Math. Soc. 133 (2005), 1437-1440
MSC (2000): Primary 42B25
Published electronically: November 22, 2004
MathSciNet review: 2111942
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Abstract: A multidimensional version of the Riesz rising sun lemma is proved by means of a generalized dyadic process.


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Additional Information

A. A. Korenovskyy
Affiliation: Department of Mathematical Analysis, IMEM, National University of Odessa, Dvoryanskaya, 2, 65026 Odessa, Ukraine
Email: anakor@paco.net

A. K. Lerner
Affiliation: Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel
Email: aklerner@netvision.net.il

A. M. Stokolos
Affiliation: Department of Mathematical Sciences, DePaul University, Chicago, Illinois, 60614
Email: astokolo@depaul.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07653-1
PII: S 0002-9939(04)07653-1
Keywords: ``Rising sun" lemma, dyadic property, differential basis
Received by editor(s): August 13, 2003
Received by editor(s) in revised form: January 15, 2004
Published electronically: November 22, 2004
Additional Notes: The work of the first author was partially supported by the France-Ukraine program of scientific collaboration “DNIPRO"
Communicated by: Andreas Seeger
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.