Self-improving properties of weighted Gehring classes with applications to partial differential equations

Abstract In this paper, we prove that the self-improving property of the weighted Gehring class G λ p $G_{\lambda }^{p}$ with a weight λ holds in the non-homogeneous spaces. The results give sharp bounds of exponents and will be used to obtain the self-improving property of the Muckenhoupt class A q...

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Bibliographic Details

Published in:	Advances in Difference Equations
Main Authors:	S. H. Saker, J. Alzabut, D. O’Regan, R. P. Agarwal
Format:	Article
Language:	English
Published:	SpringerOpen 2021-08-01
Subjects:	Reverse Hölder’s inequality Muckenhoupt type inequality Higher integrability Gehring type inequalities
Online Access:	https://doi.org/10.1186/s13662-021-03552-0