The ρ-variation of the heat semigroup in the Hermitian setting: behaviour inL∞

DOI10.1017/S0013091510000556zbMath1235.42020OpenAlexW2167105605MaRDI QIDQ3094664

Jorge J. Betancor, José Luis Torrea, Raquel Crescimbeni

Publication date: 25 October 2011

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091510000556

zbMATH Keywords

heat semigroupPoisson semigroup\(\rho\)-variation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General harmonic expansions, frames (42C15)

Related Items (6)

Boundedness of differential transforms for one-sided fractional Poisson-type operator sequence ⋮ Boundedness of the differential transforms for the generalized Poisson operators generated by Laplacian ⋮ Variation and oscillation operators associated to semigroup generated by Schrödinger operator with fractional power ⋮ The oscillation of the Poisson semigroup associated to parabolic Hermite operator ⋮ Variation and oscillation for harmonic operators in the inverse Gaussian setting ⋮ Boundedness of Differential Transforms for Heat Semigroups Generated by Schrödinger Operators

Cites Work

• The \(\rho \)-variation as an operator between maximal operators and singular integrals
• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• Oscillation and variation for the Hilbert transform
• Strong variational and jump inequalities in harmonic analysis
• Oscillation in ergodic theory

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