Riesz transforms and fractional integration for orthogonal expansions on spheres, balls and simplices
DOI10.1016/j.aim.2016.05.027zbMath1353.33006OpenAlexW2464480117MaRDI QIDQ305729
Publication date: 30 August 2016
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2016.05.027
fractional integrationRiesz transformsHardy-Littlewood-Sobolev inequalityChristoffel functionsDunkl operatorsspherical h-harmonics
Multipliers for harmonic analysis in several variables (42B15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Orthogonal polynomials and functions associated with root systems (33C52)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positivity and Fourier integrals over regular hexagon
- Riesz transforms and multipliers for the Grushin operator
- Cesàro means of orthogonal expansions in several variables
- Sub-exponentially localized kernels and frames induced by orthogonal expansions
- Riesz transform and Riesz potentials for Dunkl transform
- Approximation by the Bernstein-Durrmeyer operator on a simplex
- Moduli of smoothness and approximation on the unit sphere and the unit ball
- Maximal function and multiplier theorem for weighted space on the unit sphere
- Bernstein-Durrmeyer polynomials on a simplex
- The Dunkl transform
- Riesz transforms on spheres
- Summability of orthogonal expansions of several variables.
- Approximation of smooth functions on compact two-point homogeneous spaces
- Reflection groups and orthogonal polynomials on the sphere
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- Weighted polynomial inequalities with doubling and \(A_\infty\) weights
- Positivity of Dunkl's intertwining operator
- Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators
- Riesz transforms for multi-dimensional Laguerre function expansions
- Maximal estimates for the Cesàro means of weighted orthogonal polynomial expansions on the unit sphere
- Multivariate polynomial inequalities with respect to doubling weights and \(A_{\infty}\) weights
- Orthogonal polynomials and summability in Fourier orthogonal series on spheres and on balls
- Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces
- Boundedness of projection operators and Cesàro means in weighted 𝐿^{𝑝} space on the unit sphere
- LPEstimates for fractional integrals and sobolev inequalities with applications to schrödinger operators
- Transplantation theorems and multiplier theorems for Jacobi series
- Differential-Difference Operators Associated to Reflection Groups
- Weighted Norm Inequalities for the Riemann-Liouville and Weyl Fractional Integral Operators
- Integral Kernels with Reflection Group Invariance
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- Orthogonal Polynomials for a Family of Product Weight Functions on the Spheres
- Integration of the intertwining operator for $h$-harmonic polynomials associated to reflection groups
- Intertwining Operators Associated to the Group S 3
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Mixed norm estimates for the Cesàro means associated with Dunkl–Hermite expansions
- Classical Expansions and Their Relation to Conjugate Harmonic Functions
- Orthogonal polynomials and cubature formulae on balls, simplices, and spheres
This page was built for publication: Riesz transforms and fractional integration for orthogonal expansions on spheres, balls and simplices
