Strong \(q\)-variation inequalities for analytic semigroups

DOI10.5802/aif.2743zbMath1269.47011arXiv1103.2874OpenAlexW2963906563MaRDI QIDQ1948150

Christian Le Merdy, Quanhua Xu

Publication date: 2 May 2013

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2874

zbMATH Keywords

analytic semigroupsergodic theoryoperators on \(L^p\)strong \(q\)-variation

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Linear operators on function spaces (general) (47B38) Ergodic theory (37A99)

Related Items (34)

\(L^p\)-boundedness properties of variation operators in the Schrödinger setting ⋮ Jump and variational inequalities for rough operators ⋮ Boundedness of variation operators associated with the heat semigroup generated by high order Schrödinger type operators ⋮ Quantitative weighted estimates for harmonic analysis operators in the Bessel setting by using sparse domination ⋮ Jump estimates for operators associated with polynomials ⋮ A noncommutative weak type \((1,1)\) estimate for a square function from ergodic theory ⋮ Almost everywhere convergence of powers of some positive \(L_p\) contractions ⋮ Boundedness of oscillation and variation of semigroups in Musielak-Orlicz-Hardy spaces ⋮ On power-subadditive positive operators on the $L_p$ spaces $(1<p<\infty )$ ⋮ Variation and oscillation operators on weighted Morrey–Campanato spaces in the Schrödinger setting ⋮ Quantitative weighted bounds for the \(q\)-variation of singular integrals with rough kernels ⋮ The \(L^2\)-boundedness of the variational Calderón-Zygmund operators ⋮ On the variation operator for the Ornstein-Uhlenbeck semigroup in dimension one ⋮ Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions ⋮ Vector-valued \(q\)-variational inequalities for averaging operators and the Hilbert transform ⋮ Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ Variation and oscillation for semigroups associated with discrete Jacobi operators ⋮ Bounded Bessel-type operators on \(\mathrm{BMO}^2_{\alpha}(\mathbb{R}_+)\) ⋮ Weighted jump and variational inequalities for rough operators ⋮ Weighted variation inequalities for differential operators and singular integrals in higher dimensions ⋮ Boundedness of oscillation and variation of semigroups associated with Bessel Schrödinger operators ⋮ Dilation of Ritt operators on \(L^p\)-spaces ⋮ Weighted variation inequalities for differential operators and singular integrals ⋮ Variational inequalities for the commutators of rough operators with BMO functions ⋮ The Ritt property of subordinated operators in the group case ⋮ Vector valued \(q\)-variation for differential operators and semigroups. I ⋮ Vector valued \(q\)-variation for ergodic averages and analytic semigroups ⋮ H^∞-functional calculus for commuting families of Ritt operators and sectorial operators ⋮ Dimension-free estimates for the vector-valued variational operators ⋮ Noncommutative maximal inequalities associated with convex functions ⋮ Variation operators for semigroups associated with Fourier-Bessel expansions ⋮ On the Ritt property and weak type maximal inequalities for convolution powers on $\ell ^1(\mathbb {Z})$ ⋮ Variation and oscillation for harmonic operators in the inverse Gaussian setting ⋮ Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials

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