Výsledky vyhledávání - "Zhu, Chenfeng"

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Parabolic Muckenhoupt Weights Characterized by Parabolic Fractional Maximal and Integral Operators with Time Lag

Autor: Kong, Weiyi, Yang, Dachun, Yuan, Wen, Zhu, Chenfeng

In this article, motivated by the regularity theory of the solutions of doubly nonlinear parabolic partial differential equations the authors introduce the off-diagonal two-weight version of the parabolic Muckenhoupt class with time lag. Then the aut

Externí odkaz: http://arxiv.org/abs/2410.04483

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Extension Theorem and Bourgain--Brezis--Mironescu-Type Characterization of Ball Banach Sobolev Spaces on Domains

Autor: Zhu, Chenfeng, Yang, Dachun, Yuan, Wen

Let $\Omega\subset\mathbb{R}^n$ be a bounded $(\varepsilon,\infty)$-domain with $\varepsilon\in(0,1]$, $X(\mathbb{R}^n)$ a ball Banach function space satisfying some extra mild assumptions, and $\{\rho_\nu\}_{\nu\in(0,\nu_0)}$ with $\nu_0\in(0,\infty

Externí odkaz: http://arxiv.org/abs/2307.11392

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Brezis--Seeger--Van Schaftingen--Yung-Type Characterization of Homogeneous Ball Banach Sobolev Spaces and Its Applications

Autor: Zhu, Chenfeng, Yang, Dachun, Yuan, Wen

Let $\gamma\in\mathbb{R}\setminus\{0\}$ and $X(\mathbb{R}^n)$ be a ball Banach function space satisfying some extra mild assumptions. Assume that $\Omega=\mathbb{R}^n$ or $\Omega\subset\mathbb{R}^n$ is an $(\varepsilon,\infty)$-domain for some $\vare

Externí odkaz: http://arxiv.org/abs/2307.10528

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Generalized Brezis--Van Schaftingen--Yung Formulae and Their Applications in Ball Banach Sobolev Spaces

Autor: Zhu, Chenfeng, Yang, Dachun, Yuan, Wen

Let $X$ be a ball Banach function space on $\mathbb{R}^n$. In this article, under some mild assumptions about both $X$ and the boundedness of the Hardy--Littlewood maximal operator on both $X$ and the associate space of its convexification, the autho

Externí odkaz: http://arxiv.org/abs/2304.00949

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Parabolic Muckenhoupt Weights on Spaces of Homogeneous Type

Autor: Kinnunen, Juha, Myyryläinen, Kim, Yang, Dachun, Zhu, Chenfeng

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

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