Zobrazeno 1 - 10
of 1 129
pro vyhledávání: '"42B30"'
Autor:
Bui, The Anh
Let $\nu=(\nu_1,\ldots,\nu_n)\in (-1,\infty)^n$, $n\ge 1$, and let $\mathcal{L}_\nu$ be a self-adjoint extension of the differential operator \[ L_\nu := \sum_{i=1}^n \left[-\frac{\partial^2}{\partial x_i^2} + x_i^2 + \frac{1}{x_i^2}(\nu_i^2 - \frac{
Externí odkaz:
http://arxiv.org/abs/2411.19404
Autor:
Bui, The Anh
Let $\nu\in [-1/2,\infty)^n$, $n\ge 1$, and let $\mathcal{L}_\nu$ be a self-adjoint extension of the differential operator \[ L_\nu := \sum_{i=1}^n \left[-\frac{\partial^2}{\partial x_i^2} + x_i^2 + \frac{1}{x_i^2}(\nu_i^2 - \frac{1}{4})\right] \] on
Externí odkaz:
http://arxiv.org/abs/2411.19403
Autor:
Liu, Xiong, Wang, Wenhua
Let $\varphi: \mathbb{R}^{n}\times[0,\infty)\rightarrow[0,\infty)$ be a Musielak-Orlicz function satisfying the uniformly anisotropic Muckenhoupt condition and be of uniformly lower type $p^-_{\varphi}$ and of uniformly upper type $p^+_{\varphi}$ wit
Externí odkaz:
http://arxiv.org/abs/2410.06611
We verify the continuity of the Riesz transform from the operator related Hardy space to $L^1$ - Lebesgue space of integrable functions. For the standard Euclidean Laplace operator, this is a classical result that plays a significant role in harmonic
Externí odkaz:
http://arxiv.org/abs/2409.14877
Autor:
Martini, Alessio, Plewa, Paweł
Let $G=N\rtimes \mathbb{R}$, where $N$ is a Carnot group and $\mathbb{R}$ acts on $N$ via automorphic dilations. Homogeneous left-invariant sub-Laplacians on $N$ and $\mathbb{R}$ can be lifted to $G$, and their sum is a left-invariant sub-Laplacian $
Externí odkaz:
http://arxiv.org/abs/2409.13233
Autor:
Tan, Chaoqiang, Wang, Zipeng
We investigate a class of Fourier integral operators with weakened symbols, which satisfy a multi-parameter differential inequality in $\R^n$. We establish that these operators retain the classical $L^p$ boundedness and the $H^1$ to $L^1$ boundedness
Externí odkaz:
http://arxiv.org/abs/2408.03211
Autor:
Karafyllia, Christina
Motivated by the classical bounded H\"{o}lder domains, we introduce the notion of an unbounded simply connected H\"{o}lder domain. We prove analytic and geometric characterizations of those domains with the aid of the spherical metric and the hyperbo
Externí odkaz:
http://arxiv.org/abs/2407.03288
Autor:
Jia, Hongchao, Yan, Xianjie
Let $p(\cdot):\ \mathbb R^n\to(0,\infty)$ be a variable exponent function and $X$ a ball quasi-Banach function space. In this paper, we first study the relationship between two kinds of variable weights $\mathcal{W}_{p(\cdot)}(\mathbb{R}^n)$ and $A_{
Externí odkaz:
http://arxiv.org/abs/2406.18947
Autor:
Auscher, Pascal, Hou, Hedong
We establish a complete picture for well-posedness of parabolic Cauchy problems with time-independent, uniformly elliptic, bounded measurable complex coefficients. We exhibit a range of $p$ for which tempered distributions in homogeneous Hardy--Sobol
Externí odkaz:
http://arxiv.org/abs/2406.15775
Autor:
Chen, Xinyu, Tan, Jian
Let $X$ be a ball quasi-Banach function space on $\mathbb R^{n}$ and $h_{X}(\mathbb R^{n})$ the local Hardy space associated with $X$. In this paper, under some reasonable assumptions on $X$, the infinite and finite atomic decompositions for the loca
Externí odkaz:
http://arxiv.org/abs/2406.10841