$L_p$ estimates in the Androulidakis-Mohsen-Yuncken calculus
Edward McDonald
TL;DR
This paper proves that certain zero-order operators in a specialized pseudodifferential calculus are bounded on Lp spaces, extending understanding of operator behavior in this mathematical framework.
Contribution
It establishes Lp boundedness for zero-order operators in the Androulidakis-Mohsen-Yuncken calculus, a novel result in this specific pseudodifferential setting.
Findings
Zero-order operators are bounded on Lp spaces for 1<p<∞
Extends pseudodifferential calculus to include Lp boundedness results
Provides foundational results for analysis in the Androulidakis-Mohsen-Yuncken framework
Abstract
We prove that order zero operators in the pseudodifferential calculus associated to a filtration defined by Androulidakis, Mohsen and Yuncken are bounded on spaces for
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Advanced Algebra and Geometry · Mathematical Analysis and Transform Methods