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. This is a preview of subscription content, log in via an institution to check access.
(mh=jn_iKe6gdyuh2NDM)1.jpg "Sex guide Tallahassee")
Rent this article via DeepDyve. Institutional subscriptions. Alvarez, J. Hounie and C. Argentina 37 , β MathSciNet Google Scholar. Astala, T. Iwaniec and G. Google Scholar. Mateu and J. Orobitg, L p estimates for the maximal singular integral in terms of the singular integral , J. Buckley, Estimates for operator norms on weighted spaces and reverse Jensen inequalities , Trans. Calderon and A. Zygmund, On singular integrals , Amer. Carro, C. Soria and J. Soria, Maximal functions and the control of weighted inequalities for the fractional integral operator , Indiana Univ.
Cascante, J. Ortega and I. Verbitsky, On L p - L q trace inequalities , J. London Math. Cejas, K. Li, C. China Math. Chang, J. Wilson and T. Christ, Weak type 1, 1 bounds for rough operators , Ann. Christ and J. Rubio de Francia, Weak type 1, 1 bounds for rough operators. II , Invent. Coifman and C. Fefferman, Weighted norm inequalities for maximal functions and singular integrals , Studia Math. Conde-Alonso, A. Culiuc, F. Di Plinio and Y. Ou, A sparse domination principle for rough singular integrals , Anal.
PDE 10 , β Cowling, J. Gunawan, Weighted estimates for fractional maximal functions related to spherical means , Bull. Cruz-Uribe, J. Martell, and C. Book Google Scholar. Cruz-Uribe and K. Moen, Sharp norm inequalities for commutators of classical operators , Publ. Moen, One and two weight norm inequalities for Riesz potentials , Illinois J.
