Papers
Topics
Authors
Recent
Assistant
AI Research Assistant
Well-researched responses based on relevant abstracts and paper content.
Custom Instructions Pro
Preferences or requirements that you'd like Emergent Mind to consider when generating responses.
Gemini 2.5 Flash
Gemini 2.5 Flash 93 tok/s
Gemini 2.5 Pro 48 tok/s Pro
GPT-5 Medium 30 tok/s Pro
GPT-5 High 33 tok/s Pro
GPT-4o 128 tok/s Pro
Kimi K2 202 tok/s Pro
GPT OSS 120B 449 tok/s Pro
Claude Sonnet 4.5 37 tok/s Pro
2000 character limit reached

Semigroup and Riesz transform for the Dunkl- Schrödinger operators (1910.06245v1)

Published 14 Oct 2019 in math.FA and math.AP

Abstract: Let $L_k=-\Delta_k+V$ be the Dunk- Schr\"{o}dinger operators, where $\Delta_k=\sum_{j=1}dT_j2$ is the Dunkl Laplace operator associated to the dunkl operators $T_j$ on $\mathbb{R}d$ and $V$ is a nonnegative potential function. In the first part of this paper we introduce the Riesz transform $R_j= T_j L_k{-1/2}$ as an $L2$- bounded operator and we prove that is of weak type $(1,1)$ and then is bounded on $Lp(\mathbb{R}d,d\mu_k(x))$ for $1<p\leq 2$. The second pat is devoted to the $Lp$ smoothing of the semigroup generated by $L_k$, when $V$ belongs to the standard Koto class.

Summary

We haven't generated a summary for this paper yet.

Lightbulb Streamline Icon: https://streamlinehq.com

Continue Learning

We haven't generated follow-up questions for this paper yet.

Authors (2)

List To Do Tasks Checklist Streamline Icon: https://streamlinehq.com

Collections

Sign up for free to add this paper to one or more collections.