Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators
We deal with homogeneous Besov and Triebel–Lizorkin spaces in the setting of a doubling
metric measure space in the presence of a non-negative self-adjoint operator whose heat …
metric measure space in the presence of a non-negative self-adjoint operator whose heat …
Pseudodifferential operators on spaces of distributions associated with non-negative self-adjoint operators
AG Georgiadis, M Nielsen - Journal of Fourier Analysis and Applications, 2017 - Springer
We consider Hörmander type symbols on a family of spaces associated with non-negative
self-adjoint operators, and we prove boundedness of the corresponding pseudodifferential …
self-adjoint operators, and we prove boundedness of the corresponding pseudodifferential …
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 …
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 …
What is variable bandwidth?
K Gröchenig, A Klotz - Communications on Pure and Applied …, 2017 - Wiley Online Library
We propose a new notion of variable bandwidth that is based on the spectral subspaces of
an elliptic operator where p> 0 is a strictly positive function. Denote by the orthogonal …
an elliptic operator where p> 0 is a strictly positive function. Denote by the orthogonal …
[HTML][HTML] Spectral multipliers on spaces of distributions associated with non-negative self-adjoint operators
AG Georgiadis, M Nielsen - Journal of Approximation Theory, 2018 - Elsevier
We consider spaces of homogeneous type associated with a non-negative self-adjoint
operator whose heat kernel satisfies certain upper Gaussian bounds. Spectral multipliers …
operator whose heat kernel satisfies certain upper Gaussian bounds. Spectral multipliers …
Embeddings between Triebel-Lizorkin spaces on metric spaces associated with operators
AG Georgiadis, G Kyriazis - Analysis and Geometry in Metric Spaces, 2020 - degruyter.com
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 …
Spaces of distributions on product metric spaces associated with operators
We lay down the foundation of the theory of spaces of distributions on the product $
X_1\times X_2 $ of doubling metric measure spaces $ X_1 $, $ X_2 $ in the presence of non …
X_1\times X_2 $ of doubling metric measure spaces $ X_1 $, $ X_2 $ in the presence of non …
[HTML][HTML] Frame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operators
Let L be the generator of an analytic semigroup whose kernels satisfy Gaussian upper
bounds and Hölder's continuity. Also assume that L has a bounded holomorphic functional …
bounds and Hölder's continuity. Also assume that L has a bounded holomorphic functional …
Gaussian bounds for the heat kernel associated to prolate spheroidal wave functions with applications
Gaussian upper and lower bounds and Hölder continuity are established for the heat kernel
associated to the prolate spheroidal wave functions (PSWFs) of order zero. These results …
associated to the prolate spheroidal wave functions (PSWFs) of order zero. These results …