Boundedness of integral operators on generalized Morrey spaces and its application to Schrödinger operators
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- by Kazuhiro Kurata, Seiichi Nishigaki and Satoko Sugano PDF
- Proc. Amer. Math. Soc. 128 (2000), 1125-1134 Request permission
Abstract:
In this paper, we study boundedness of integral operators on generalized Morrey spaces and its application to estimates in Morrey spaces for the Schrödinger operator $L_2=-\Delta +V(x)+W(x)$ with nonnegative $V\in (RH)_{\infty }$ (reverse Hölder class) and small perturbed potentials $W$.References
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Additional Information
- Kazuhiro Kurata
- Affiliation: Department of Mathematics, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji-shi, Tokyo 192-0397, Japan
- Email: kurata@comp.metro-u.ac.jp
- Seiichi Nishigaki
- Affiliation: Numazu College of Technology, 3600 Ooka Numazu 410-8501, Japan
- Email: nishiga@la.numazu-ct.ac.jp
- Satoko Sugano
- Affiliation: Department of Mathematics, Gakushuin University, 1-5-1 Mejiro, toshima-ku, Tokyo 171, Japan
- Email: 95243001@gakushuin.ac.jp
- Received by editor(s): June 1, 1998
- Published electronically: August 5, 1999
- Additional Notes: The first author was partially supported by Grant-in Aid for Scientific Research (C)(No. 09640208), the Ministry of Education, Science, Sports and Culture.
- Communicated by: Christopher D. Sogge
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1125-1134
- MSC (1991): Primary 35B45, 42B20; Secondary 35J10
- DOI: https://doi.org/10.1090/S0002-9939-99-05208-9
- MathSciNet review: 1646196