Boundedness of partial difference transforms for heat semigroups generated by discrete Laplacian

DOI10.1007/s00233-021-10210-0zbMath1477.42017OpenAlexW3188139946MaRDI QIDQ1982586

Chao Zhang, Xinyu Ren

Publication date: 14 September 2021

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-021-10210-0

zbMATH Keywords

maximal operatorsheat semigroupdiscrete Laplacianpartial difference transforms

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) (H^p)-spaces (42B30)

Related Items (1)

Variation and oscillation for semigroups associated with discrete Jacobi operators

Cites Work

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• Differential and ergodic transforms
• Calderón-Zygmund theory for operator-valued kernels
• Heat kernel expansions on the integers
• Harmonic analysis associated with a discrete Laplacian
• Discrete Hardy spaces and heat semigroup associated with the discrete Laplacian
• Differential transforms in weighted spaces
• The Hardy-Littlewood maximal operator on discrete Morrey spaces
• Boundedness of differential transforms for one-sided fractional Poisson-type operator sequence
• Discrete analogues in harmonic analysis, I: l 2[superscript estimates for singular radon transforms]
• Boundedness of Differential Transforms for Heat Semigroups Generated by Schrödinger Operators
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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