Profile directory About Mobile apps
Log in Sign up
arXiv Math @arxiv_math@qoto.org
Follow

Subelliptic and Maximal $L^p$ Estimates for the Complex Green Operator on non-pseudoconvex domains https://arxiv.org/abs/2504.10614 #mathCV

Subelliptic and Maximal $L^p$ Estimates for the Complex Green Operator on non-pseudoconvex domains

We prove subelliptic estimates for ethe complex Green operator $ K_q $ at a specific level $ q $ of the $ \bar\partial_b $-complex, defined on a not necessarily pseudoconvex CR manifold satisfying the commutator finite type condition. Additionally, we obtain maximal $ L^p $ estimates for $ K_q $ by considering closed-range estimates. Our results apply to a family of manifolds that includes a class of weak $ Y(q) $ manifolds satisfying the condition $ D(q) $. We employ a microlocal decomposition and Calderón-Zygmund theory to obtain subelliptic and maximal-$ L^p $ estimates, respectively.

arXiv.org
April 17, 2025 at 3:10 AM · · feed2toot · 0 · 0 · 0
Sign in to participate in the conversation
Qoto Mastodon

QOTO: Question Others to Teach Ourselves
An inclusive, Academic Freedom, instance
All cultures welcome.
Hate speech and harassment strictly forbidden.

Resources

  • Terms of service
  • Privacy policy

Developers

  • Documentation
  • API

What is Mastodon?

qoto.org

  • About
  • v3.5.19-qoto

More…

  • Source code
  • Mobile apps
v3.5.19-qoto · Privacy policy