Boundedness of n-Multiple Discrete Hardy Operators with Weights for 1<q<p<∞

Boundedness of n-Multiple Discrete Hardy Operators with Weights for 1<q<p<∞

We find necessary and sufficient conditions on weighted sequences ωi, i=1,2,…,n-1, u, and v, for which the operator (Sn-1f)i=∑k1=1i‍ω1,k1⋯∑kn-1=1kn-2‍ωn-1,kn-1∑j=1kn-1‍fj,i≥1, is bounded from lp,v to lq,u for 1<q<p<∞.

Bibliographic Details
Main Authors: Aigerim Kalybay, Ryskul Oinarov, Ainur Temirkhanova
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/121767

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