A Fractional Hardy-Sobolev-Maz'ya Inequality on the Upper Halfspace
Craig A. Sloane
TL;DR
This paper establishes a fractional Hardy-Sobolev-Maz'ya inequality on the upper halfspace by proving several Sobolev inequalities, contributing to the understanding of fractional inequalities in mathematical analysis.
Contribution
The paper introduces a new fractional Hardy-Sobolev-Maz'ya inequality on the upper halfspace, expanding the class of known fractional inequalities.
Findings
Established fractional Hardy-Sobolev-Maz'ya inequality on the upper halfspace
Proved several Sobolev inequalities related to fractional operators
Enhanced understanding of fractional inequalities in analysis
Abstract
We prove several Sobolev inequalities, which are then used to establish a fractional Hardy-Sobolev- Maz'ya inequality on the upper halfspace.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Harmonic Analysis Research · Differential Equations and Boundary Problems