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  1. No Access

    Article

    q-variational Hörmander functional calculus and Schrödinger and wave maximal estimates

    This article is the continuation of the work [30] where we had proved maximal estimates $$\begin{aligned} \left\| \sup _{t > 0} |m(tA)f| \, \r...

    Luc Deleaval, Christoph Kriegler in Mathematische Zeitschrift (2024)

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    Article

    Hörmander functional calculus on UMD lattice valued Lp spaces under generalized Gaussian estimates

    We consider self-adjoint semigroups Tt = exp(−tA) acting on L2(Ω) and satisfying (generalized) Gaussian estimates, where Ω is a metric measure space of homogeneous type of dimension d. The aim of the article is t...

    Luc Deleaval, Mikko Kemppainen, Christoph Kriegler in Journal d'Analyse Mathématique (2021)

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    Article

    A Hardy–Littlewood Maximal Operator for the Generalized Fourier Transform on \({\mathbb {R}}\)

    In this paper, we define and study a canonical Hardy–Littlewood-type maximal operator associated with the one-dimensional generalized Fourier transform. For this operator to which covering methods do not apply...

    Salem Ben Saïd, Luc Deleaval in The Journal of Geometric Analysis (2020)

  4. No Access

    Article

    Moments of the Hermitian Matrix Jacobi Process

    In this paper, we compute the expectation of traces of powers of the Hermitian matrix Jacobi process for a large enough but fixed size. To proceed, we first derive the semi-group density of its eigenvalues pro...

    Luc Deleaval, Nizar Demni in Journal of Theoretical Probability (2018)