On capacitary strong type inequalities for Orlicz-Sobolev functions
Ritva Hurri-Syrj\"anen, Jani Joensuu
TL;DR
This paper establishes capacitary strong type inequalities for Orlicz-Sobolev functions and explores their implications for capacitary averages and limits, advancing the understanding of function space inequalities.
Contribution
It introduces new capacitary inequalities for Orlicz-Sobolev spaces and applies these results to analyze capacitary averages and their limits.
Findings
Proved capacitary strong type inequalities for Orlicz-Sobolev functions.
Analyzed the behavior of capacitary averages and their limits.
Extended the theory of function space inequalities to Orlicz-Sobolev contexts.
Abstract
We prove capacitary strong type inequalities for functions belonging to Orlicz-Sobolev spaces. As an application we consider capacitary averages and their limits.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Nonlinear Partial Differential Equations · Differential Equations and Boundary Problems