arXiv:1311.3582 Abstract | arXiv Analytics

arXiv:1311.3582 [math.FA]Abstract References Reviews Resources

Rearrangement invariant optimal range for Hardy type operators

Published 2013-11-14Version 1

We characterize, in the context of rearrangement invariant spaces, the optimal range space for a class of monotone operators related to the Hardy operator. The connection between optimal range and optimal domain for these operators is carefully analyzed.

Comments: 25 pages

Categories: math.FA, math.CA

Subjects: 26D10, 46E30

Keywords: rearrangement invariant optimal range, hardy type operators, optimal range space, rearrangement invariant spaces, hardy operator

Related articles: Most relevant | Search more

arXiv:math/0602426 [math.FA] (Published 2006-02-20)

Optimal domain for the Hardy operator

Olvido Delgado, Javier Soria

arXiv:2109.03095 [math.FA] (Published 2021-09-07)

Weighted inequalities for a superposition of the Copson operator and the Hardy operator

Amiran Gogatishvili, Zdeněk Mihula, Luboš Pick, Hana Turčinová, Tuğçe Ünver

arXiv:1601.06861 [math.FA] (Published 2016-01-26)