Zobrazeno 1 - 10
of 55
pro vyhledávání: '"42B35, 42B25"'
Autor:
Bui, The Anh, Duong, Xuan Thinh
Consider the discrete Laplacian $\Delta_d$ defined on the set of integers $\mathbb Z$ by \[ \Delta_d f(n) = -f(n+1) + 2f(n) -f(n-1), \ \ \ \ n\in \mathbb Z, \] where $f$ is a function defined on $\mathbb Z$. In this paper, we define Hardy spaces, Bes
Externí odkaz:
http://arxiv.org/abs/2411.19399
Autor:
Cen, Xi, Song, Zichen
Recently, the extrapolation theory has become a mainsteam method to investigate some integral type operators, since it does not depend on the density of spaces. The purpose of this paper is threefold. The first is to establish product Morrey-Herz spa
Externí odkaz:
http://arxiv.org/abs/2402.12321
In this paper, we study different types of weighted Besov and Triebel-Lizorkin spaces with variable smoothness. The function spaces can be defined by means of the Littlewood-Paley theory in the field of Fourier analysis, while there are other norms a
Externí odkaz:
http://arxiv.org/abs/2309.01359
Autor:
Saka, Koichi
In this papae we introduce and investigate new 2-microlocal spaces associated with Besov type and Triebel-LIzorkin type spaces. We establish characterizations of these function spaces via the phi transform, the atom and molecular decomposition and wa
Externí odkaz:
http://arxiv.org/abs/2303.04317
Autor:
Cruz-Uribe, David, Penrod, Michael
C. Stockdale, P. Villarroya, and B. Wick introduced the $\epsilon$-maximal operator to prove the Haar multiplier is bounded on the weighted spaces $L^p(w)$ for a class of weights larger than $A_p$. We prove the $\epsilon$-maximal operator and Haar mu
Externí odkaz:
http://arxiv.org/abs/2208.11775
This work discusses parabolic Muckenhoupt weights on spaces of homogeneous type, i.e.\ quasi-metric spaces with both a doubling measure and an additional monotone geodesic property. The main results include a characterization in terms of weighted nor
Externí odkaz:
http://arxiv.org/abs/2208.08328
The purpose of this paper is to introduce and investigate some basic properties of mixed homogeneous Herz-Hardy spaces $H\dot{K}_{\vec{p}}^{\alpha, q}(\mathbb{R}^n)$ and mixed non-homogeneous Herz-Hardy spaces $HK_{\vec{p}}^{\alpha, q}(\mathbb{R}^n)$
Externí odkaz:
http://arxiv.org/abs/2205.10372
Autor:
Kurki, Emma-Karoliina
The natural maximal and minimal functions commute pointwise with the logarithm on $A_\infty$. We use this observation to characterize the spaces $A_1$ and $RH_\infty$ on metric measure spaces with a doubling measure. As the limiting cases of Muckenho
Externí odkaz:
http://arxiv.org/abs/2204.01441
Autor:
Kawasumi, Ryota, Nakai, Eiichi
For the Hardy-Littlewood maximal and Calder\'on-Zygmund operators, the weighted boundedness on the Lebesgue spaces are well known. We extend these to the Orlicz-Morrey spaces. Moreover, we prove the weighted boundedness on the weak Orlicz-Morrey spac
Externí odkaz:
http://arxiv.org/abs/2108.07080
Autor:
Domínguez, Óscar, Milman, Mario
A generalization of the theory of Y. Brudnyi \cite{yuri}, and A. and Y. Brudnyi \cite{BB20a}, \cite{BB20b}, is presented. Our construction connects Brudnyi's theory, which relies on local polynomial approximation, with new results on sparse dominatio
Externí odkaz:
http://arxiv.org/abs/2107.05117