Zobrazeno 1 - 10
of 38
pro vyhledávání: '"46E30, 42B25"'
Autor:
Hietanen, Vertti
We prove that the Hardy-Littlewood maximal operator is bounded in the weighted generalized Orlicz space if the weight satisfies the classical Muckenhoupt condition $A_p$ and $t \to \frac{\varphi(x,t)}{t^p}$ is almost increasing in addition to the sta
Externí odkaz:
http://arxiv.org/abs/2409.18525
Autor:
Zhang, Lihua, Zhou, Jiang
We introduce mixed-norm Herz-slice spaces unifying classical Herz spaces and mixed-norm slice spaces, establish dual spaces and the block decomposition, and prove that the boundedness of Hardy-Littlewood maximal operator on mixed-norm Herz-slice spac
Externí odkaz:
http://arxiv.org/abs/2306.12013
Autor:
Mizuta, Yoshihiro, Shimomura, Tetsu
In this paper, we study Sobolev type inequalities for fractional maximal functions $M_{{\mathbb H},\nu}f$ and Riesz potentials $I_{{\mathbb H},\alpha} f$ of functions in weighted Morrey spaces of the double phase functional $\Phi(x,t) = t^{p} + (b(x)
Externí odkaz:
http://arxiv.org/abs/2305.13708
Let $p,q\in [1,\infty]$, $\alpha\in{\mathbb{R}}$, and $s$ be a non-negative integer. In this article, the authors introduce a new function space $\widetilde{JN}_{(p,q,s)_{\alpha}}(\mathcal{X})$ of John-Nirenberg-Campanato type, where $\mathcal{X}$ de
Externí odkaz:
http://arxiv.org/abs/2207.00917
Let $\alpha\in\mathbb R^n$, $t\in(0,\infty)$, $p\in(0,\infty]$, $r\in(1,\infty)$ and $q\in[1,\infty]$. We introduce the homogeneous Herz-slice space $(\dot KE_{q,r}^{\alpha,p})_t(\mathbb R^n)$, the non-homogeneous Herz-slice space $(KE_{q,r}^{\alpha,
Externí odkaz:
http://arxiv.org/abs/2204.08635
Autor:
Azzam, Jonas, Dąbrowski, Damian
Publikováno v:
Publ. Mat. 67 (2023), no. 2, 819--850
We give a characterization of $L^{p}(\sigma)$ for uniformly rectifiable measures $\sigma$ using Tolsa's $\alpha$-numbers, by showing, for $1
Externí odkaz:
http://arxiv.org/abs/2009.10111
Let $\vec{p}\in(0,\infty)^n$ and $A$ be a general expansive matrix on $\mathbb{R}^n$. In this article, via the non-tangential grand maximal function, the authors first introduce the anisotropic mixed-norm Hardy spaces $H_A^{\vec{p}}(\mathbb{R}^n)$ as
Externí odkaz:
http://arxiv.org/abs/1910.05142
Autor:
Trojan, Bartosz
Given an ergodic dynamical system $(X, \mathcal{B}, \mu, T)$, we prove that for each function $f$ belonging to the Orlicz space $L(\log L)^2(\log \log L)(X, \mu)$, the ergodic averages \[ \frac{1}{\pi(N)} \sum_{p \in \mathbb{P}_N} f\big(T^p x\big), \
Externí odkaz:
http://arxiv.org/abs/1907.04753
Autor:
Almeida, Alexandre, Caetano, António
In this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of non-standard f
Externí odkaz:
http://arxiv.org/abs/1807.10687
Autor:
Drihem, Douadi
We introduce Besov spaces with variable smoothness and integrability by using the continuous version of Calder\`on reproducing formula. We show that our space is well-defined, i.e., independent of the choice of basis functions. We characterize these
Externí odkaz:
http://arxiv.org/abs/1601.00309