Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions
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Publication:6145795
DOI10.1142/s0219530523500057zbMath1530.42040arXiv2110.03493OpenAlexW3202563346MaRDI QIDQ6145795
Marta De León-Contreras, Jorge J. Betancor
Publication date: 9 January 2024
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.03493
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)
Cites Work
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- Fourier-Bessel heat kernel estimates
- \(L^p\)-boundedness properties of variation operators in the Schrödinger setting
- Riesz-Jacobi transforms as principal value integrals
- The \(\rho \)-variation as an operator between maximal operators and singular integrals
- Dimension free \(L^p\) estimates for single Riesz transforms via an \(H^\infty\) joint functional calculus
- Square functions in the Hermite setting for functions with values in UMD spaces
- Weighted variation inequalities for differential operators and singular integrals
- Weak type (1,1) bounds for some operators related to the Laplacian with drift on real hyperbolic spaces
- Weak-type inequality for conjugate first order Riesz-Laguerre transforms
- Calderón-Zygmund operators in the Bessel setting
- Riesz transforms and spectral multipliers of the Hodge-Laguerre operator
- Transferring strong boundedness among Laguerre orthogonal systems
- \(L^2\)-theory of Riesz transforms for orthogonal expansions
- Riesz transforms and conjugacy for Laguerre function expansions of Hermite type
- Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
- Weak-type inequalities for higher order Riesz-Laguerre transforms
- Calderón-Zygmund theory for operator-valued kernels
- Weak type \((1,1)\) estimates of the maximal function for the Laguerre semigroup in finite dimensions
- Dimension-free \(L^p\) estimates for vectors of Riesz transforms associated with orthogonal expansions
- Weighted jump and variational inequalities for rough operators
- Weighted variation inequalities for differential operators and singular integrals in higher dimensions
- Functional calculus for the Laguerre operator
- Higher order Riesz transforms, fractional derivatives, and Sobolev spaces for Laguerre expansions
- Oscillation and variation for the Hilbert transform
- Dimension free estimates for the oscillation of Riesz transforms
- On Riesz transforms for Laguerre expansions
- Higher order Riesz transforms for Laguerre expansions
- Strong \(q\)-variation inequalities for analytic semigroups
- Oscillation and variation of the Laguerre heat and Poisson semigroups and Riesz transforms
- Estimates for operators related to the sub-Laplacian with drift in Heisenberg groups
- Jump inequalities via real interpolation
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives
- Variation for singular integrals on Lipschitz graphs: 𝐿^{𝑝} and endpoint estimates
- Maximal theorems and square functions for analytic operators on L p -spaces
- Harmonic analysis operators associated with multidimensional Bessel operators
- Maximal operators for the holomorphic Laguerre semigroup
- Strong variational and jump inequalities in harmonic analysis
- vector-valued singular integrals and maximal functions on spaces of homogeneous type
- La variation d'ordre p des semi-martingales
- Oscillation in ergodic theory
- The Mehler Maximal Function: a Geometric Proof of the Weak Type 1
- Oscillation and variation for the Gaussian Riesz transforms and Poisson integral
- Oscillation and variation for singular integrals in higher dimensions
- Variation inequalities for the Fejér and Poisson kernels
- Spectral multipliers of Laplace transform type for the Laguerre operator
- Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space
- Fractional vector-valued Littlewood–Paley–Stein theory for semigroups
- Weak Type Estimates for Riesz-Laguerre Transforms
- Poisson Integrals for Hermite and Laguerre Expansions
- Conjugate Functions for Laguerre Expansions
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials
- Quantitative weighted bounds for the \(q\)-variation of singular integrals with rough kernels
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