Plugin estimation of smooth optimal transport maps Page 1 The Annals of Statistics 2024, Vol.
52, No. 3, 966–998 https://doi.org/10.1214/24-AOS2379 © Institute of Mathematical Statistics …

One can slightly modify the usual L, differentiability constraints of Sobolev types on densities
with the help of Besov norms. This has the advantage, using the wavelets characterization of …

Wavelet bases and frames consisting of band limited functions of nearly exponential
localization on ℝ d are a powerful tool in harmonic analysis by making various spaces of …

Abstract Homogeneous mixed-norm Triebel–Lizorkin spaces are introduced and studied
with the use of a discrete wavelet transformation, the so-called φ φ-transform. This extends …

We derive necessary density conditions for sampling and for interpolation in general
reproducing kernel Hilbert spaces satisfying some natural conditions on the geometry of the …

We prove boundedness of pseudodifferential operators on anisotropic mixed‐norm Besov
and Triebel–Lizorkin spaces. Our proof relies only on general maximal function estimates …

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 …

We introduce heat semigroup-based Besov classes in the general framework of Dirichlet
spaces. General properties of those classes are studied and quantitative regularization …

One of the most influential contributions of Frazier and Jawerth is the construction of the
discrete decomposition transformation, the so-called &-transform, on spaces of distributions …

This paper deals with homogeneous function spaces of Besov-Sobolev type within the
framework of tempered distributions in Euclidean $ n $-space based on Gauss-Weierstrass …