Results 31 to 40 of about 508 (55)

Morrey-Campanato Functional Spaces for Carnot Groups [PDF]

arXiv, 2023
We shortly review the historical path of Morrey-Campanato functional spaces and the fundamentals of Carnot groups. Then, we merge these two topics, by recovering several classical results concerning regularity of Morrey-Campanato spaces in the framework of Carnot groups.
arxiv  

On the heat kernel of the Rumin complex and Calderón reproducing formula

Analysis and Geometry in Metric Spaces
We derive several properties of the heat equation with the Hodge operator associated with the Rumin’s complex on Heisenberg groups and prove several properties of the fundamental solution.
Ciatti Paolo, Franchi Bruno, Sire Yannick   +2 more
doaj   +1 more source

Dunkl kernel associated with dihedral group

, 2015
In this paper, we pursue the investigations started in \cite{Mas-You} where the authors provide a construction of the Dunkl intertwining operator for a large subset of the set of regular multiplicity values. More precisely, we make concrete the action of
Deleaval, Luc, Demni, Nizar, Youssfi, Hassan   +2 more
core   +3 more sources

Pseudo-differential operators with nonlinear quantizing functions

, 2018
In this paper we develop the calculus of pseudo-differential operators corresponding to the quantizations of the form $$ Au(x)=\int_{\mathbb{R}^n}\int_{\mathbb{R}^n}e^{i(x-y)\cdot\xi}\sigma(x+\tau(y-x),\xi)u(y)dyd\xi, $$ where $\tau:\mathbb{R}^n\to ...
Esposito, Massimiliano, Ruzhansky, Michael   +1 more
core   +1 more source

Tangential Convergence of bounded harmonic functions on Generalized Siegel domains [PDF]

arXiv, 2008
We extend a result of Hulanicki- Ricci to all H-type groups.
arxiv  

An amenable, radical Banach algebra [PDF]

arXiv, 2002
We give an example of an amenable, radical Banach algebra, relying on results from non-abelian harmonic analysis due to H. Leptin, D. Poguntke and J. Boidol.
arxiv  

Hausdorff-Young inequalities for nonunimodular groups [PDF]

arXiv, 2003
The paper studies Hausdorff-Young inequalities for certain group extensions, by use of Mackey's theory. We consider the case in which the dual action of the quotient group is free almost everywhere. This result applies to yield a Hausdorff-Young inequality for nonunimodular groups.
arxiv  

Sharp Hardy type inequalities on the Carnot Group [PDF]

arXiv, 2005
In this paper we establish sharp weighted Hardy type inequalities on the Carnot group with homogeneous dimension $Q\ge 3$.
arxiv  

Beurling's Theorem and $L^p-L^q$ Morgan's Theorem for Step Two Nilpotent Lie Groups [PDF]

arXiv, 2006
We prove Beurling's theorem and $L^p-L^q$ Morgan's theorem for step two nilpotent Lie ...
arxiv  

Lp-cohomology of symmetric spaces [PDF]

arXiv, 2007
This is a short survey of Riemannian geometric applications of Lp-cohomology of thick spaces, p not equal to 2.
arxiv