23 citations · 48 across the 15 of their papers we have counts for
18 papers · 1 filter
Hardy inequalities on metric measure spaces, III: The case and applications
Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan
In this paper, we obtain a reverse version of the integral Hardy inequality on metric measure space with two negative exponents. Also, as for applications we show the reverse Hardy…
Representation formulae for the higher-order Steklov and -Friedrichs inequalities
Tohru Ozawa, Durvudkhan Suragan
In this paper, we obtain remainder term representation formulae for the higher-order Steklov inequality for vector fields which imply short and direct proofs of the sharp (classica…
Trace formulae of potentials for degenerate parabolic equations
Mukhtar Karazym, Durvudkhan Suragan
In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences,…
Multidimensional inverse Cauchy problems for evolution equations
Mukhtar Karazym, Tohru Ozawa, Durvudkhan Suragan
We discuss inverse problems to finding the time-dependent coefficient for the multidimensional Cauchy problems for both strictly hyperbolic equations and polyharmonic heat equation…
Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups
Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan
In this note we prove the reverse Stein-Weiss inequality on general homogeneous Lie groups. The obtained results extend previously known inequalities. Special properties of homogen…
Reverse integral Hardy inequality on metric measure spaces
Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan
In this note, we obtain a reverse version of the integral Hardy inequality on metric measure spaces. Moreover, we give necessary and sufficient conditions for the weighted reverse…