A. A. Vasil'eva
Published 2013-11-02Version 1
Two-side estimates for two-weighted discrete Hardy-type operators on a tree are obtained. For general weights we prove the discrete analogue of Evans - Harris - Pick theorem (it is a quite simple consequence from their result). It gives the order estimate for the norm of the weighted summation operator, but this estimate is rather complicated. Under some conditions on weights, we obtain estimates which are more simple and convenient for applications.
On factorization of operators through the spaces $l^p.$
Pseudospectra and Simultaneous Control
Some types of composition operators on some spaces of functions
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