Boundedness of Weighted Hardy Operator and Its Adjoint on Triebel-Lizorkin-Type Spaces
Joint Authors
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Let p∈[1,∞], q∈[1,∞), τ∈(0,∞), and α∈(0,1) such that τ>1/p-1/q and α≤n(1/p-τ), let Uψ be the weighted Hardy operator and Vψ its adjoint operator with respect to the weight function ψ.
In this paper, the authors establish a sufficient and necessary condition on weight function ψ to ensure the boundedness of Uψ and Vψ on the Triebel-Lizorkin-type spaces Ḟp,qα,τ(ℝn) and their predual spaces, Triebel-Lizorkin-Hausdorff spaces, which unify and generalize the known results on Q-type spaces.
American Psychological Association (APA)
Tang, Canqin& Zhou, Ruohong. 2012. Boundedness of Weighted Hardy Operator and Its Adjoint on Triebel-Lizorkin-Type Spaces. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-484978
Modern Language Association (MLA)
Tang, Canqin& Zhou, Ruohong. Boundedness of Weighted Hardy Operator and Its Adjoint on Triebel-Lizorkin-Type Spaces. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-484978
American Medical Association (AMA)
Tang, Canqin& Zhou, Ruohong. Boundedness of Weighted Hardy Operator and Its Adjoint on Triebel-Lizorkin-Type Spaces. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-484978
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484978