Výsledky vyhledávání - "Huang Jizheng"

Akademický článek

The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces

Autor: Xie Xiangyun, Liu Yu, Li Pengtao, Huang Jizheng

Publikováno v: Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 48 pp.-67 (2024)

In this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity. Un

Externí odkaz: https://doaj.org/article/a0ce92aee20b43b4a795ea356a35dfd1

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Boundedness of fractional integrals and fractional derivatives on Laguerre Lipschitz spaces

Autor: Wang, He, Huang, Jizheng, Liu, Yu

In this paper, we study the boundedness of a class of fractional integrals and derivatives associated with Laguerre polynomial expansions on Laguerre Lipschitz spaces. The consideration of such operators is motivated by the study of corresponding res

Externí odkaz: http://arxiv.org/abs/2408.09165

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Akademický článek

Area Integral Characterization of Hardy space H1L related to Degenerate Schrödinger Operators

Autor: Huang Jizheng, Li Pengtao, Liu Yu

Publikováno v: Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 1291-1314 (2019)

Let

Externí odkaz: https://doaj.org/article/0b358f275bd54b5d81d68860677719ad

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BV spaces and the perimeters related to Schrodinger operators with inverse-square potentials and applications to the rank-one theorem

Autor: Han, Yang, Huang, Jizheng, Li, Pengtao, Liu, Yu

For $a \ge - {( \frac{{d}}{2}- 1)^2} $ and $2\sigma= {{d - 2}}-( {{{(d - 2)}^2} + 4a})^{1/2}$, let $$\begin{cases}\mathcal{H}_{a}= - \Delta + \frac{a} {{{{ | x |}^2}}},\\ \mathcal{\widetilde{H}}_{\sigma}= 2\big( { - \Delta + \frac{{{\sigma ^2}}} {{{{

Externí odkaz: http://arxiv.org/abs/2203.16770

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Akademický článek

Littlewood-Paley -Functions and Multipliers for the Laguerre Hypergroup

Autor: Huang Jizheng

Publikováno v: Journal of Inequalities and Applications, Vol 2011, Iss 1, p 741095 (2011)

Abstract Let where . Then can generate a hypergroup which is called Laguerre hypergroup, and we denote this hypergroup by K. In this paper, we will consider the Littlewood-Paley -functions on K and then we use it to prove the Hölmander multipliers o

Externí odkaz: https://doaj.org/article/fe70ece8808b4cd4bf9138b7a5805976

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Capacity & Perimeter from $\alpha$-Hermite Bounded Variation

Autor: Huang, Jizheng, Li, Pengtao, Liu, Yu

Let $\mathcal{H}_{\alpha}=\Delta-(\alpha-1)|x|^{\alpha}$ be an $[1,\infty)\ni\alpha$-Hermite operator for the hydrogen atom located at the origin in $\mathbb R^d$. In this paper, we are motivated by the classical case $\alpha=1$ to investigate the sp

Externí odkaz: http://arxiv.org/abs/1908.07889

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Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations

Autor: Huang, Jizheng, Li, Pengtao, Liu, Yu, Shi, Shaoguang

Let $(\mathbb M, d,\mu)$ be a metric measure space with upper and lower densities: $$ \begin{cases} |||\mu|||_{\beta}:=\sup_{(x,r)\in \mathbb M\times(0,\infty)} \mu(B(x,r))r^{-\beta}<\infty;\\ |||\mu|||_{\beta^{\star}}:=\inf_{(x,r)\in \mathbb M\times

Externí odkaz: http://arxiv.org/abs/1908.07895

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