1 citations · 1 across the 6 of their papers we have counts for
6 papers
Stein-Weiss-Adams inequality on Morrey spaces
Aidyn Kassymov, Maria Alessandra Ragusa, Michael Ruzhansky +1
We establish Adams type Stein-Weiss inequality on global Morrey spaces on general homogeneous groups. Special properties of homogeneous norms and some boundedness results on global…
Unified weighted Hardy-type inequalities
Durvudkhan Suragan, Nurgissa Yessirkegenov
We present a unified approach to obtain Hardy-type inequalities in the context of nilpotent Lie groups with sharp constants. The unified methodology employed herein allows for expl…
Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations
Mansur I. Ismailov, Tohru Ozawa, Durvudkhan Suragan
We discuss inverse problems of determining the time-dependent source coefficient for a general class of subelliptic heat equations. We show that a single data at an observation poi…
Hardy-Leray inequalities in variable Lebesgue spaces
David Cruz-Uribe, Durvudkhan Suragan
In this paper, we prove the Hardy-Leray inequality and related inequalities in variable Lebesgue spaces. Our proof is based on a version of the Stein-Weiss inequality in variable L…
Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces
Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov
We analyse Morrey spaces, generalised Morrey spaces and Campanato spaces on homogeneous groups. The boundedness of the Hardy-Littlewood maximal operator, Bessel-Riesz operators, ge…
Anisotropic -weighted Hardy and -Caffarelli-Kohn-Nirenberg inequalities
Michael Ruzhansky, Durvudkhan Suragan
We establish sharp remainder terms of the -Caffarelli-Kohn-Niren\-berg inequalities on homogeneous groups, yielding the inequalities with best constants. Our methods also gi…