115 citations · 1.9k across the 226 of their papers we have counts for
8 papers · 2 filters
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…
Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Michael Ruzhansky
Let and be compact Lie groups, , and consider the operator \begin{equation*} L_{aq} = X_1 + a(x_1)X_2 + q(x_1,x_2), \en…
-bounds for pseudo-differential operators on graded Lie groups
Duván Cardona, Julio Delgado, Michael Ruzhansky
In this work we obtain sharp -estimates for pseudo-differential operators on arbitrary graded Lie groups. The results are presented within the setting of the global symbolic c…
Global properties of vector fields on compact Lie groups in Komatsu classes
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Michael Ruzhansky
In this paper we characterize completely the global hypoellipticity and global solvability in the sense of Komatsu (of Roumieu and Beurling types) of constant-coefficients vector f…
Global hypoellipticity and global solvability for vector fields on compact Lie groups
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Michael Ruzhansky
We present necessary and sufficient conditions to have global hypoellipticity and global solvability for a class of vector fields defined on a product of compact Lie groups. In vie…