On the measure of non-compactness of maximal operators

In one of the previous articles of the author it was proved that if B is a convex quasi-density measurable basis and E is a symmetric space on Rn with respect to the Lebesgue measure, then there do not exist non-orthogonal weights w and v for which the maximal operator MB corresponding to B acts com...

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Bibliographic Details
Main Author: Georgi G. Oniani
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2004/786419
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