2 papers
math.FA2024
Wiener-Lebesgue point property for Sobolev Functions on Metric Spaces
M. Ashraf Bhat, G. Sankara Raju Kosuru
We establish a Wiener-type integral condition for first-order Sobolev functions defined on a complete, doubling metric measure space supporting a Poincaré inequality. It is stronge…
math.FA2024
Trace Principle for Riesz Potentials on Herz-Type Spaces and Applications
M. Ashraf Bhat, G. Sankara Raju Kosuru
We establish trace inequalities for Riesz potentials on Herz-type spaces and discuss the optimality of conditions imposed on specific parameters. We also present some applications…