Molecular characterization of weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type with its applications to …
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 …
Weiss, and let X(𝕏) be a ball quasi-Banach function space on 𝕏. In this article, the authors …
Weighted Besov and Triebel–Lizorkin spaces associated with operators and applications
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 …
(X) satisfying Gaussian upper bounds on its heat kernels. In this paper, we develop the …
Wavelet characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type and its applications
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 …
Lizorkin spaces on a given space (X, d, μ) of homogeneous type in the sense of Coifman …
Kernel and wavelet density estimators on manifolds and more general metric spaces
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 …
metric spaces”. We present several examples of settings that are covered by the general …
Duals of Besov and Triebel-Lizorkin spaces associated with operators
AG Georgiadis, G Kyriazis - Constructive Approximation, 2023 - Springer
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 …
volume property, associated with a non-negative self-adjoint operator, whose heat kernel …
Pseudo-multipliers and smooth molecules on Hermite Besov and Hermite Triebel–Lizorkin spaces
FK Ly, V Naibo - Journal of Fourier Analysis and Applications, 2021 - Springer
We obtain new molecular decompositions and molecular synthesis estimates for Hermite
Besov and Hermite Triebel–Lizorkin spaces and use such tools to prove boundedness …
Besov and Hermite Triebel–Lizorkin spaces and use such tools to prove boundedness …
Molecular characterizations of variable anisotropic Hardy spaces with applications to boundedness of Calderón–Zygmund operators
J Liu - Banach Journal of Mathematical Analysis, 2021 - Springer
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 …
satisfying the globally log-Hölder continuous condition and A a general expansive matrix on …
Spectral multipliers of self-adjoint operators on Besov and Triebel–Lizorkin spaces associated to operators
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 …
satisfies a Gaussian estimate on its heat kernel. In this paper we prove a Hörmander-type …
Hardy Spaces Associated with Non-negative Self-adjoint Operators and Ball Quasi-Banach Function Spaces on Doubling Metric Measure Spaces and Their …
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 …
G. Weiss, L a non-negative self-adjoint operator on L 2 (X) satisfying the Davies–Gaffney …
Variable Besov spaces associated with heat kernels
C Zhuo, D Yang - Constructive Approximation, 2020 - Springer
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 …
→ (0, ∞ p (·), q (·): X→(0,∞ are such that both 1/p (⋅) 1/p (·) and 1/q (⋅) 1/q (·) satisfy the …