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http://hdl.handle.net/20.500.12323/4671| Title: | Characterizations for the Fractional Integral Operators in Generalized Morrey Spaces on Carnot Groups |
| Authors: | Eroglu, A. Guliyev, V.S. Azizov, J.V. |
| Keywords: | Carnot group fractional integral operator generalized Morrey space |
| Issue Date: | 2017 |
| Publisher: | Pleiades Publishing, Ltd. |
| Citation: | Mathematical Notes |
| Series/Report no.: | Vol. 102;№ 5 |
| Abstract: | In this paper we study the boundedness of the fractional integral operator Iα on Carnot group G in the generalized Morrey spaces Mp,ϕ(G). We shall give a characterization for the strong and weak type boundedness of Iα on the generalized Morrey spaces, respectively. As applications of the properties of the fundamental solution of sub-Laplacian L on G, we prove two Sobolev–Stein embedding theorems on generalized Morrey spaces in the Carnot group setting. |
| URI: | http://hdl.handle.net/20.500.12323/4671 |
| ISSN: | 0001-4346 |
| Appears in Collections: | Publication |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Characterizations for the Fractional Integral Operators in Generalized Morrey Spaces on Carnot Groups.pdf | 177.8 kB | Adobe PDF | View/Open |
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