Riesz transform on manifolds with ends of different volume growth for $1
Autor:
Jiang, Renjin, Li, Hongquan, Lin, Haibo
Rok vydání:
2022
Předmět:
Druh dokumentu:
Working Paper
Popis:
Let $M_1$, $\cdots$, $M_\ell$ be complete, connected and non-collapsed manifolds of the same dimension, where $2\le \ell\in\mathbb{N}$, and suppose that each $M_i$ satisfies a doubling condition and a Gaussian upper bound for the heat kernel. If each manifold $M_i$ has volume growth either bigger than two or equal to two, then we show that the Riesz transform $\nabla \L^{-1/2}$ is bounded on $L^p(M)$ for each $1
Databáze:
arXiv
Externí odkaz:
| Autor: | Jiang, Renjin, Li, Hongquan, Lin, Haibo |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $M_1$, $\cdots$, $M_\ell$ be complete, connected and non-collapsed manifolds of the same dimension, where $2\le \ell\in\mathbb{N}$, and suppose that each $M_i$ satisfies a doubling condition and a Gaussian upper bound for the heat kernel. If each manifold $M_i$ has volume growth either bigger than two or equal to two, then we show that the Riesz transform $\nabla \L^{-1/2}$ is bounded on $L^p(M)$ for each $1 |
| Databáze: | arXiv |
| Externí odkaz: |
|