ON BOUNDEDNESS OF THE GENERALIZED RIESZ POTENTIAL IN LOCAL MORREY-TYPE SPACES-Reference-Cited by-同舟云学术

ON BOUNDEDNESS OF THE GENERALIZED RIESZ POTENTIAL IN LOCAL MORREY-TYPE SPACES

Published:2022-10 Issue:5 Volume:266 Page:765-793
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Burenkov V. I.^ORCID,Senouci M. A.

Abstract

AbstractFor all admissible values of the numerical parameters sharp sufficient conditions on the functional parameters are obtained ensuring the boundedness of the generalized Riesz potential from one general local Morrey-type space to another one, which, for a certain range of the numerical parameters, coincide with the necessary ones.

Funder

Russian Science Foundation

Regional Mathematical Center of the Southern Federal University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s10958-022-06134-x.pdf

Reference17 articles.

1. V.I. Burenkov, Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. I, Eurasian Math. J., 3 (2012), no. 3, 11–32.

2. V.I. Burenkov, Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II, Eurasian Math. J., 4 (2013), no. 1, 21–45

3. V.I. Burenkov, H.V. Guliyev, Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces, Studia Math, 163 (2004), no. 2, 157-176.

4. V.I. Burenkov, H.V. Guliyev, V.S. Guliyev, Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces, J. Comput. Appl. Math., 208 (2007), 280-301.

5. V.I. Burenkov, P. Jain, T.V. Tararykova, On boundedness of the Hardy operator in Morrey-type spaces, Eurasian Math. J., 2 (2011), no. 1, 52-80.