Shows failure of stability under small tilts for maximal operator bounds in non-Métivier two-step nilpotent groups and provides new necessary conditions for L^p boundedness.
Annulus maximal averages on variable hyperplanes
2 Pith papers cite this work. Polarity classification is still indexing.
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math.CA 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
A survey of conjectures and results on spherical maximal functions emphasizing problems with fractal dilation sets.
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Failure of stability of a maximal operator bound for perturbed Nevo-Thangavelu means
Shows failure of stability under small tilts for maximal operator bounds in non-Métivier two-step nilpotent groups and provides new necessary conditions for L^p boundedness.
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Problems on spherical maximal functions
A survey of conjectures and results on spherical maximal functions emphasizing problems with fractal dilation sets.