115 citations · 1.9k across the 226 of their papers we have counts for
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A note on the polar decomposition in metric spaces
Zhirayr Avetisyan, Michael Ruzhansky
The analogue of polar coordinates in the Euclidean space, a polar decomposition in a metric space, if well-defined, can be very useful in dealing with integrals with respect to a s…
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…
Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity
Vishvesh Kumar, Joel E. Restrepo, Michael Ruzhansky
We derive asymptotic estimates for the growth of the norm of the deformed Hankel transform on the deformed Hankel--Lipschitz space defined via a generalised modulus of continuity.…
Elements (functions) that are universal with respect to a minimal system
Zhirayr Avetisyan, Martin Grigoryan, Michael Ruzhansky
We call an element conditionally universal for a sequential convergence space with respect to a minimal system in a continuously and densely e…
Revised logarithmic Sobolev inequalities of fractional order
Marianna Chatzakou, Michael Ruzhansky
In this short note we prove the logarithmic Sobolev inequality with derivatives of fractional order on with an explicit expression for the constant. Namely, we show…
Schatten-von Neumann properties for Hörmander classes on compact Lie groups
Duván Cardona, Marianna Chatzakou, Michael Ruzhansky +1
Let be a compact Lie group of dimension In this work we characterise the membership of classical pseudo-differential operators on in the trace class ideal $S_{1}(L^2(G…