Regularities of Time-Fractional Derivatives of Semigroups Related to Schrodinger Operators with Application to Hardy-Sobolev Spaces on Heisenberg Groups
Joint Authors
Wang, Zhiyong
Sun, Chuanhong
Li, Pengtao
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-10
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
In this paper, assume that L=−Δℍn+V is a Schrödinger operator on the Heisenberg group ℍn, where the nonnegative potential V belongs to the reverse Hölder class BQ/2.
By the aid of the subordinate formula, we investigate the regularity properties of the time-fractional derivatives of semigroups e−tLt>0 and e−tLt>0, respectively.
As applications, using fractional square functions, we characterize the Hardy-Sobolev type space HL1,αℍn associated with L.
Moreover, the fractional square function characterizations indicate an equivalence relation of two classes of Hardy-Sobolev spaces related with L.
American Psychological Association (APA)
Wang, Zhiyong& Sun, Chuanhong& Li, Pengtao. 2020. Regularities of Time-Fractional Derivatives of Semigroups Related to Schrodinger Operators with Application to Hardy-Sobolev Spaces on Heisenberg Groups. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1185989
Modern Language Association (MLA)
Wang, Zhiyong…[et al.]. Regularities of Time-Fractional Derivatives of Semigroups Related to Schrodinger Operators with Application to Hardy-Sobolev Spaces on Heisenberg Groups. Journal of Function Spaces No. 2020 (2020), pp.1-21.
https://search.emarefa.net/detail/BIM-1185989
American Medical Association (AMA)
Wang, Zhiyong& Sun, Chuanhong& Li, Pengtao. Regularities of Time-Fractional Derivatives of Semigroups Related to Schrodinger Operators with Application to Hardy-Sobolev Spaces on Heisenberg Groups. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1185989
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185989