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Estimates for Fractional Integral Operators and Linear Commutators on Certain Weighted Amalgam Spaces
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-03
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
In this paper, we first introduce some new classes of weighted amalgam spaces.
Then, we give the weighted strong-type and weak-type estimates for fractional integral operators Iγ on these new function spaces.
Furthermore, the weighted strong-type estimate and endpoint estimate of linear commutators b,Iγ generated by b and Iγ are established as well.
In addition, we are going to study related problems about two-weight, weak-type inequalities for Iγ and b,Iγ on the weighted amalgam spaces and give some results.
Based on these results and pointwise domination, we can prove norm inequalities involving fractional maximal operator Mγ and generalized fractional integrals ℒ−γ/2 in the context of weighted amalgam spaces, where 0<γ
American Psychological Association (APA)
Wang, Hua. 2020. Estimates for Fractional Integral Operators and Linear Commutators on Certain Weighted Amalgam Spaces. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1185270
Modern Language Association (MLA)
Wang, Hua. Estimates for Fractional Integral Operators and Linear Commutators on Certain Weighted Amalgam Spaces. Journal of Function Spaces No. 2020 (2020), pp.1-25.
https://search.emarefa.net/detail/BIM-1185270
American Medical Association (AMA)
Wang, Hua. Estimates for Fractional Integral Operators and Linear Commutators on Certain Weighted Amalgam Spaces. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1185270
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185270