lp,q-bounded sequences in function spaces

A sequence of measurable functions {fn} is called lp,q-bounded sequence, 0<p<∞,  0<q≤∞, if for any sequence of real numbers a={αn}∈lp,q we have sup⁡n⁡|αnFn(ω)|<∞  ω-a.e., for any sequence {Fn} such that for every n functions fn anf Fn are equimeasurable. The main result gives necessa...

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Bibliographic Details
Main Author: S. Ya. Novikov
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2003/935641
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