Sharp weighted fractional Hardy inequalities
Bartłomiej Dyda, Michał Kijaczko
Abstract
We investigate the weighted fractional order Hardy inequality $$\int _{\Omega }\int _{\Omega }\frac {|f(x)-f(y)|^{p}}{|x-y|^{d+sp}}{\rm dist} (x,\partial \Omega )^{-\alpha }{\rm dist} (y,\partial \Omega )^{-\beta }\,dy\,dx\geq C\int _{\Omega }\frac {|f(x)
Topics & Concepts
OmegaMathematicsOrder (exchange)CombinatoricsPhysicsQuantum mechanicsFinanceEconomicsNumerical methods in engineeringDifferential Equations and Boundary ProblemsNonlinear Differential Equations Analysis