Adams-Spanne type estimates for parabolic sublinear operators and their commutators with rough kernels on parabolic generalized Morrey spaces
Volume 11, Issue 6, pp 798--811
http://dx.doi.org/10.22436/jnsa.011.06.07
Publication Date: April 25, 2018
Submission Date: November 11, 2017
Revision Date: February 11, 2018
Accteptance Date: March 25, 2018
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Authors
Ferit Gürbüz
- Department of Mathematics Education, Faculty of Education, Hakkary Uinversity, Hakkari, Turkey.
Abstract
The aim of this paper is to give Adams-Spanne type estimates for parabolic
sublinear operators and their commutators by with rough kernels generated by
parabolic fractional integral operators under generic size conditions which
are satisfied by most of the operators in harmonic analysis. Their endpoint
estimates are also disposed.
Share and Cite
ISRP Style
Ferit Gürbüz, Adams-Spanne type estimates for parabolic sublinear operators and their commutators with rough kernels on parabolic generalized Morrey spaces, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 6, 798--811
AMA Style
Gürbüz Ferit, Adams-Spanne type estimates for parabolic sublinear operators and their commutators with rough kernels on parabolic generalized Morrey spaces. J. Nonlinear Sci. Appl. (2018); 11(6):798--811
Chicago/Turabian Style
Gürbüz, Ferit. "Adams-Spanne type estimates for parabolic sublinear operators and their commutators with rough kernels on parabolic generalized Morrey spaces." Journal of Nonlinear Sciences and Applications, 11, no. 6 (2018): 798--811
Keywords
- Parabolic sublinear operator
- parabolic fractional integral operator
- parabolic fractional maximal operator
- rough kernel
- parabolic generalized Morrey space
- parabolic BMO space
- commutator
MSC
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