On the weighted fractional Poincar\'e-type inequalities
Volume 157 / 2019
Colloquium Mathematicum 157 (2019), 213-230
MSC: Primary 46E35; Secondary 26D10.
DOI: 10.4064/cm7612-9-2018
Published online: 10 May 2019
Abstract
Weighted fractional Poincaré-type inequalities are proved on John domains whenever the weights defined on the domain depend on the distance to the boundary and to an arbitrary compact set in the boundary of the domain.