The multi-dimensional pencil phenomenon for Laguerre heat-diffusion maximal operators
Adam Nowak, Peter Sj\"ogren
TL;DR
This paper studies the behavior of maximal operators linked to Laguerre heat-diffusion semigroups in multiple dimensions, focusing on their mapping properties and boundedness.
Contribution
It provides a detailed analysis of the mapping properties of these maximal operators for multi-dimensional Laguerre functions, a topic not extensively explored before.
Findings
Established boundedness criteria for the maximal operators
Identified conditions for L^p space mappings
Extended known results to multi-dimensional settings
Abstract
We investigate in detail the mapping properties of the maximal operator associated with the heat-diffusion semigroup corresponding to expansions with respect to multi-dimensional standard Laguerre functions.
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Taxonomy
TopicsNumerical methods in inverse problems · Advanced Mathematical Modeling in Engineering · Thermoelastic and Magnetoelastic Phenomena