[HTML][HTML] Potential operators associated with Jacobi and Fourier–Bessel expansions

A Nowak, L Roncal - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
We study potential operators (Riesz and Bessel potentials) associated with classical Jacobi
and Fourier–Bessel expansions. We prove sharp estimates for the corresponding potential …

Harmonic analysis operators related to symmetrized Jacobi expansions

B Langowski - Acta Mathematica Hungarica, 2013 - Springer
Following a symmetrization procedure proposed recently by Nowak and Stempak, we
consider the setting of symmetrized Jacobi expansions. In this framework we investigate …

Negative powers of Laguerre operators

A Nowak, K Stempak - Canadian Journal of Mathematics, 2012 - cambridge.org
Negative Powers of Laguerre Operators Page 1 Canad. J. Math. Vol. 64 (1), 2012 pp. 183–216
http://dx.doi.org/10.4153/CJM-2011-040-7 c Canadian Mathematical Society 2011 Negative …

Laplace Type Multipliers for Laguerre Expansions of Hermite Type

B Wróbel - Mediterranean Journal of Mathematics, 2013 - Springer
We investigate Laplace transform type and Laplace-Stieltjes type multipliers associated to
the multi–dimensional Laguerre function expansions of Hermite type. We prove that, under …

Potential operators and Laplace type multipliers associated with the twisted Laplacian

A Nowak, K Stempak - Acta Mathematica Scientia, 2017 - Elsevier
We study potential operators and, more generally, Laplace-Stieltjes and Laplace type
multipliers associated with the twisted Laplacian. We characterize those 1≤ p, q≤∞, for …

Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators

JJ Betancor, AJ Castro, J Curbelo… - Complex Analysis and …, 2013 - Springer
In this paper we characterize the Banach spaces with the UMD property by means of L p-
boundedness properties for the imaginary powers of the Hermite and Laguerre operators. In …

Multipliers of Laplace transform type in certain Dunkl and Laguerre settings

TZ Szarek - Bulletin of the Australian Mathematical Society, 2012 - cambridge.org
We investigate Laplace type and Laplace–Stieltjes type multipliers in the d-dimensional
setting of the Dunkl harmonic oscillator with the associated group of reflections isomorphic to …

[PDF][PDF] Acotaciones con pesos para la integral fraccionaria de funciones radiales y sus aplicaciones

I Drelichman - 2010 - bibliotecadigital.exactas.uba.ar
Biblioteca Digital | FCEN-UBA | Drelichman, Irene. 2010 "Acotaciones con pesos para la
integral fraccionaria de funciones r Page 1 Dirección: Dirección: Biblioteca Central Dr. Luis F …

[PDF][PDF] Spectral multipliers for the Dunkl Laplacian

S Hassani, M Sifi - Communications on Stochastic Analysis, 2012 - repository.lsu.edu
Spectral multipliers for the Dunkl Laplacian Page 1 Communications on Stochastic Analysis
Volume 6 Number 4 Article 4 12-1-2012 Spectral multipliers for the Dunkl Laplacian Sallam …

[PDF][PDF] Laplace Type Multipliers for Laguerre Expansions of Hermite Type

B lazej Wróbel - 2013 - core.ac.uk
We investigate Laplace transform type and Laplace-Stieltjes type multipliers associated to
the multi–dimensional Laguerre function expansions of Hermite type. We prove that, under …