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On weighted weak type inequalities for modified Hardy operators

Authors :
Pilar Rodríguez Ortega
Francisco J. Martín-Reyes
Source :
Proceedings of the American Mathematical Society. 126:1739-1746
Publication Year :
1998
Publisher :
American Mathematical Society (AMS), 1998.

Abstract

We characterize the pairs of weights (w, v) for which the modified Hardy operator Tf(x) = g(x) ∫ x 0 f applies Lp(v) into weak-Lq(w) where g is a monotone function and 1 ≤ q < p

Details

ISSN :
10886826 and 00029939
Volume :
126
Database :
OpenAIRE
Journal :
Proceedings of the American Mathematical Society
Accession number :
edsair.doi...........7edd6ce7c060dc7fc3652d2338425d61
Full Text :
https://doi.org/10.1090/s0002-9939-98-04247-6