Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Yao, Liding"'
In this note, we look at the behavior of embedding between Besov spaces and compare its behavior with Sobolev embeddings, mainly when the embeddings are non-compact. We classify that in the case of the non-compact embedding then, depending on paramet
Externí odkaz:
http://arxiv.org/abs/2410.10731
Autor:
Yao, Liding
We construct a linear operator $T:\mathscr S'(\mathbb R^n)\to \mathscr S'(\mathbb R^n)$ such that $T:\mathscr B_{pq}^s(\mathbb R^n)\to\mathscr B_{pq}^s(\mathbb R^n)$ for all $0
Externí odkaz:
http://arxiv.org/abs/2404.05813
Autor:
Lu, Haowen, Yao, Liding
Publikováno v:
Math. Nachr. 297 (2024), no. 3, 811-832, 22 pp. MR 4720186
Modified from the standard half-space extension via reflection principle, we construct a linear extension operator for the upper half space $\Bbb R^n_+$ that has the form $Ef(x)=\sum_{j=-\infty}^\infty a_jf(x',-b_jx_n)$ for $x_n<0$. We prove that $E$
Externí odkaz:
http://arxiv.org/abs/2211.15567
Autor:
Yao, Liding
Publikováno v:
J. Math. Anal. Appl. 538 (2024), no.2, Paper No. 128238, 41 pp. MR4739361
We construct homotopy formulas for the $\overline\partial$-equation on convex domains of finite type that have optimal Sobolev and H\"older estimates. For a bounded smooth finite type convex domain $\Omega\subset\mathbb C^n$ that has $q$-type $m_q$ f
Externí odkaz:
http://arxiv.org/abs/2210.15830
Autor:
Yao, Liding
Publikováno v:
ISBN: 979-8841-74236-4, ProQuest document ID 2714150064, 2022
The thesis studies Frobenius-type theorems in non-smooth settings. We extend the definition of involutivity to non-Lipschitz subbundles using generalized functions. We prove the real Frobenius Theorem with sharp regularity on log-Lipschitz subbundles
Externí odkaz:
http://arxiv.org/abs/2210.09143
Autor:
Yao, Liding
Nirenberg's famous complex Frobenius theorem gives necessary and sufficient conditions on a locally integrable structure for when the manifold is locally diffeomorphic to $\mathbb R^r\times\mathbb C^m\times \mathbb R^{N-r-2m}$ through a coordinate ch
Externí odkaz:
http://arxiv.org/abs/2202.07729
Autor:
Yao, Liding
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2024 538(2)
Autor:
Yao, Liding
Publikováno v:
J. Fourier Anal. Appl. 29 (2023), no. 2, Paper No. 24, 21 pp. MR 4575470
We give Littlewood-Paley type characterizations for Besov-Triebel-Lizorkin-type spaces $\mathscr B_{pq}^{s\tau},\mathscr F_{pq}^{s\tau}$ and Besov-Morrey spaces $\mathcal N_{uqp}^s$ on a special Lipschitz domain $\Omega\subset\mathbb R^n$: for a suit
Externí odkaz:
http://arxiv.org/abs/2112.03996
Autor:
Shi, Ziming, Yao, Liding
Let $\Omega$ be a strictly pseudoconvex domain in $\mathbb{C}^n$ with $C^{k+2}$ boundary, $k \geq 1$. We construct a $\overline\partial$ solution operator (depending on $k$) that gains $\frac12$ derivative in the Sobolev space $H^{s,p} (\Omega)$ for
Externí odkaz:
http://arxiv.org/abs/2111.09245
Autor:
Shi, Ziming, Yao, Liding
Publikováno v:
Math. Nachr. 297 (2024) no. 4, 1407-1443
Given a bounded Lipschitz domain $\Omega\subset\mathbb R^n$, Rychkov showed that there is a linear extension operator $\mathcal E$ for $\Omega$ which is bounded in Besov and Triebel-Lizorkin spaces. In this paper we introduce some new estimates for t
Externí odkaz:
http://arxiv.org/abs/2110.14477