3 citations · 5 across the 4 of their papers we have counts for
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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…
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…
Köthe-Herz Spaces: The Amalgam-Type Spaces of Infinite Direct Sums
M. Ashraf Bhat, P. Kolwicz, G. Sankara Raju Kosuru
In this paper, we introduce a class of function spaces called Köthe-Herz spaces . These spaces are similar to amalgam spaces and are characterized by a local compon…
Generalizations of Some Concentration Inequalities
M. Ashraf Bhat, G. Sankara Raju Kosuru
For a real-valued measurable function and a nonnegative, nondecreasing function , we first obtain a Chebyshev type inequality which provides an upper bound for $\displaystyl…