arXiv:2307.10417 Abstract | arXiv Analytics

arXiv:2307.10417 [math.CA]Abstract References Reviews Resources

Pointwise estimates for rough operators with applications to Sobolev inequalities

Published 2023-07-19Version 1

We investigate Sobolev inequalities for several rough operators. We prove that several operators satisfy a pointwise bound by the Riesz potential applied to the gradient. From this inequality, we derive several new Sobolev-type inequalities with an operator on the left-hand side.

Categories: math.CA

Keywords: inequality, rough operators, sobolev inequalities, pointwise estimates, applications

Related articles: Most relevant | Search more

arXiv:0909.0230 [math.CA] (Published 2009-09-01, updated 2009-10-04)

Mittag-Leffler Functions and Their Applications

H. J. Haubold, A. M. Mathai, R. K. Saxena

arXiv:math/0304345 [math.CA] (Published 2003-04-22)

A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications

Sever Silvestru Dragomir

arXiv:math/0010162 [math.CA] (Published 2000-10-16)

A new A_n extension of Ramanujan's 1-psi-1 summation with applications to multilateral A_n series

S. C. Milne, M. Schlosser