Hardy operator with variable limits on monotone functions

Autor: Vladimir D. Stepanov, Elena P. Ushakova
Jazyk: angličtina
Rok vydání: 2003
Předmět:
Zdroj: Journal of Function Spaces and Applications, Vol 1, Iss 1, Pp 1-15 (2003)
Druh dokumentu: article
ISSN: 0972-6802
DOI: 10.1155/2003/860547
Popis: We characterize weighted Lp-Lq inequalities with the Hardy operator of the form Hf(x)=∫a(x)b(x)f(y)u(y) dy with a non-negative weight function u, restricted to the cone of monotone functions on the semiaxis. The proof is based on the Sawyer criterion and the boundedness of generalized Hardy operator with variable limits.
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