Variation and oscillation for semigroups associated with discrete Jacobi operators

DOI10.1007/s13324-023-00852-4zbMath1530.42030arXiv2302.01698OpenAlexW4388725871MaRDI QIDQ6186706

Jorge J. Betancor, Marta De León-Contreras

Publication date: 9 January 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.01698

zbMATH Keywords

variation and oscillation operatorsweighted \(\ell^p\)-inequalities

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential and ergodic transforms
• Variation diminishing transformations and ultraspherical polynomials
• Discrete harmonic analysis associated with Jacobi expansions. I: The heat semigroup
• Discrete harmonic analysis associated with ultraspherical expansions
• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• Calderón-Zygmund theory for operator-valued kernels
• The strong p-variation of martingales and orthogonal series
• The \(p\)-variation of partial sum processes and the empirical process
• Oscillation and variation for the Hilbert transform
• Strong \(q\)-variation inequalities for analytic semigroups
• Oscillation and variation of the Laguerre heat and Poisson semigroups and Riesz transforms
• Boundedness of partial difference transforms for heat semigroups generated by discrete Laplacian
• Discrete harmonic analysis associated with Jacobi expansions. II: the Riesz transform
• Jump inequalities via real interpolation
• A weighted transplantation theorem for Jacobi coefficients
• \(\ell ^p\left(\mathbb {Z}^d\right)\)-estimates for discrete operators of Radon type: variational estimates
• Harmonic analysis associated with a discrete Laplacian
• Differential transforms in weighted spaces
• A transplantation theorem for Jacobi coefficients
• Strong variational and jump inequalities in harmonic analysis
• Vector-valued Calderón-Zygmund theory and Carleson measures on spaces of homogeneous nature
• Oscillation in ergodic theory
• 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
• Boundedness of Differential Transforms for Heat Semigroups Generated by Schrödinger Operators
• Linearization of the Product of Jacobi Polynomials. I
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Linearization of the Product of Jacobi Polynomials. II
• Linearization of the Product of Jacobi Polynomials. III
• Some remarks on oscillation inequalities
• Discrete harmonic analysis associated with Jacobi expansions. III: The Littlewood-Paley-Stein \(g_k\)-functions and the Laplace type multipliers

This page was built for publication: Variation and oscillation for semigroups associated with discrete Jacobi operators