In this work we extend the theory of the classical Hardy space H^ 1 H 1 to the rational Dunkl
setting. Specifically, let Δ Δ be the Dunkl Laplacian on a Euclidean space R^ N RN. On the …

Let $ X $ be a space of homogeneous type and let $\mathfrak {L} $ be a nonnegative self-
adjoint operator on $ L^ 2 (X) $ enjoying Gaussian estimates. The main aim of this paper is …

We prove nontangential and radial maximal function characterizations for Hardy spaces
associated to a non-negative self-adjoint operator satisfying Gaussian estimates on a space …

The rational Dunkl operators are commuting differential-reflection operators on the
Euclidean space R d associated with a root system, that contain some non-local refection …

We consider the general framework of a metric measure space satisfying the doubling
volume property, associated with a non-negative self-adjoint operator, whose heat kernel …

Abstract Let (X, ρ, μ)(X, ρ, μ) be a space of homogeneous type. Suppose that p (⋅),\q (⋅):{X
→ (0, ∞ p (·), q (·): X→(0,∞ are such that both 1/p (⋅) 1/p (·) and 1/q (⋅) 1/q (·) satisfy the …

Let G be a stratified group and let Δ G be a sub-Laplacian on G. In this paper, we consider
the Schrödinger operator L= Δ G+ V, where the potential V is a nonnegative polynomial. We …

Let XX be a metric space with doubling measure and L be a non-negative self-adjoint
operator on L^ 2 (X) L 2 (X) whose heat kernels satisfy the Gaussian upper bound estimates …

In this paper we establish inclusions and noninclusions between various Hardy type spaces
on noncompact Riemannian manifolds M with Ricci curvature bounded from below, positive …

We consider the general framework of a metric measure space satisfying the doubling
volume property, associated with a non-negative self-adjoint operator, whose heat kernel …