Abstract Let (𝕏, d, μ) be a space of homogeneous type in the sense of RR Coifman and G.
Weiss, and let X⁢(𝕏) be a ball quasi-Banach function space on 𝕏. In this article, the authors …

Let X be a space of homogeneous type and L be a nonnegative self-adjoint operator on L2
(X) satisfying Gaussian upper bounds on its heat kernels. In this paper, we develop the …

In this article, the authors establish the wavelet characterization of Besov and Triebel–
Lizorkin spaces on a given space (X, d, μ) of homogeneous type in the sense of Coifman …

Supplement to “Kernel and wavelet density estimators on manifolds and more general
metric spaces”. We present several examples of settings that are covered by the general …

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 …

We obtain new molecular decompositions and molecular synthesis estimates for Hermite
Besov and Hermite Triebel–Lizorkin spaces and use such tools to prove boundedness …

Abstract Let p (⋅):\mathbb R^ n → (0, ∞ p (·): R n→(0,∞ be a variable exponent function
satisfying the globally log-Hölder continuous condition and A a general expansive matrix on …

Let be a space of homogeneous type and let be a nonnegative self-adjoint operator on that
satisfies a Gaussian estimate on its heat kernel. In this paper we prove a Hörmander-type …

Abstract Let (X, d, μ) be a doubling metric measure space in the sense of RR Coifman and
G. Weiss, L a non-negative self-adjoint operator on L 2 (X) satisfying the Davies–Gaffney …

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 …