Full article: Riesz transforms on variable Lebesgue spaces with Gaussian measure Skip to
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The purpose of this paper is twofold. We introduce a general maximal function on the
Gaussian setting which dominates the Ornstein-Uhlenbeck maximal operator and prove its …

We propose a unified approach to the theory of Riesz transforms and conjugacy in the
setting of multi-dimensional orthogonal expansions. The scheme is supported by numerous …

We consider Riesz transforms of any order associated to an Ornstein–Uhlenbeck operator
with covariance given by a real, symmetric and positive definite matrix, and with drift given …

Let (ℋ t) t≥ 0 be the Ornstein-Uhlenbeck semigroup on ℝ d with covariance matrix I and drift
matrix− λ (I+ R), where λ> 0 and R is a skew-adjoint matrix and denote by γ∞ the invariant …

We give sufficient conditions on the exponent p: ℝ d→[1,∞) for the boundedness of the non-
centered Gaussian maximal function on variable Lebesgue spaces L p (·)(γ d), as well as of …

In this chapter we give the state of the art of harmonic analysis associated with mainly two
orthogonal systems: Hermite polynomials and Hermite functions. For the sake of …

We give sufficient conditions on the exponent p: Rd→[1,∞) for the boundedness of the non-
centered Gaussian maximal function on variable Lebesgue spaces Lp (·)(Rd, γd), as well as …

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Martingales and the Beurling–Ahlfors operator, an overview Page 1 Martingales and the
Beurling–Ahlfors operator, an overview ∗ Rodrigo Banuelos † Department of Mathematics …