In this paper we consider the Laplace operator with Dirichlet boundary conditions on a
smooth domain. We prove that it has a bounded H∞-calculus on weighted L p-spaces for …

We obtain the quantitative weighted strong-type and weak-type estimates for variation
operators associated with heat semigroups in the Schrödinger setting. In particular, we first …

Abstract Let L:=− Δ+ V be the Schrödinger operator on R n with n≥ 3, where V is a non-
negative potential which belongs to certain reverse Hölder class RH q (R n) with q∈(n/2,∞) …

Weighted embeddings for function spaces associated with Hermite expansions - ScienceDirect
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We present an overview of Besov and Triebel–Lizorkin spaces in the Hermite setting and
applications on boundedness properties of Hermite pseudo-multipliers and fractional …

Let L=− Δ+ V be a Schrödinger operator on ℝn, where Δ denotes the Laplace operator∑ i=
1 n∂ 2/∂ xi 2 and V is a nonnegative potential belonging to a certain reverse Hölder class …

In this paper, we consider the Laplace operator on the half-space with Dirichlet and
Neumann boundary conditions. We prove that this operator admits a bounded $ H^\infty …

Let L be a non-negative self-adjoint operator on L 2 (R d) and let et L be a semigroup
generated by-L. Assume that the kernels of et L satisfy the upper bound related to a critical …

Let us consider the Schr\"{o} dinger operator $\mathcal {L}=-\Delta+ V $ on $\mathbb R^ d $
with $ d\geq3 $, where $\Delta $ is the Laplacian operator on $\mathbb R^ d $ and the …

Weighted estimates for Hermite pseudo-multipliers with rough symbols - ScienceDirect Skip to
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