Operators associated with the Jacobi semigroup

DOI10.1016/j.jat.2008.11.007zbMath1185.47029OpenAlexW1980811961MaRDI QIDQ1040879

Iris Athamaica Lopez Palacios

Publication date: 26 November 2009

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2008.11.007

zbMATH Keywords

Besov spaceCarleson measurefractional derivativefractional integralTriebel-Lizorkin spaceJacobi expansionpotential spaceMeyer's multiplier theorem

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) General theory of partial differential operators (47F05) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Potential operators (47G40)

Related Items (1)

On the hypercontractive property of the Dunkl-Ornstein-Uhlenbeck semigroup

Cites Work

• Fractional differentiation for the Gaussian measure and applications
• Lectures on stochastic differential equations and Malliavin calculus
• Riesz transforms for Jacobi expansions
• Sobolev spaces of Wiener functionals and Malliavin's calculus
• Operators associated with the Hermite semigroup - a survey
• Higher order Riesz transforms, fractional derivatives, and Sobolev spaces for Laguerre expansions
• Transplantation theorem for Jacobi series in weighted Hardy spaces. II
• Transplantation theorems and multiplier theorems for Jacobi series
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