Weighted Morrey Spaces Related to Schrödinger Operators with Nonnegative Potentials and Fractional Integrals
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-16
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Let ℒ=−Δ+V be a Schrödinger operator on ℝd, d≥3, where Δ is the Laplacian operator on ℝd, and the nonnegative potential V belongs to the reverse Hölder class RHs with s≥d/2.
For given 0<α Suppose that b is a locally integrable function on ℝd and the commutator generated by b and ℐα is defined by b.ℐαfx=bx⋅ℐαfx−ℐαbfx. In this paper, we first introduce some kinds of weighted Morrey spaces related to certain nonnegative potentials belonging to the reverse Hölder class RHs with s≥d/2. Then, we will establish the boundedness properties of the fractional integrals ℐα on these new spaces. Furthermore, weighted strong-type estimate for the corresponding commutator b,ℐα in the framework of Morrey space is also obtained. The classes of weights, the classes of symbol functions, as well as weighted Morrey spaces discussed in this paper are larger than Ap,q, BMOℝd, and Lp,κμ,ν corresponding to the classical case (that is V≡0).
American Psychological Association (APA)
Wang, Hua. 2020. Weighted Morrey Spaces Related to Schrödinger Operators with Nonnegative Potentials and Fractional Integrals. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1185745
Modern Language Association (MLA)
Wang, Hua. Weighted Morrey Spaces Related to Schrödinger Operators with Nonnegative Potentials and Fractional Integrals. Journal of Function Spaces No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1185745
American Medical Association (AMA)
Wang, Hua. Weighted Morrey Spaces Related to Schrödinger Operators with Nonnegative Potentials and Fractional Integrals. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1185745
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185745