Andreas Seeger

activity

20242026

collaborators

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4 papers · 1 filter

math.CA2026

Endpoint power weight inequalities for spherical maximal functions

Marco Fraccaroli, Juyoung Lee, Nikou Lei +2

We prove sharp $L^{p} (∣ x ∣^{α})$ estimate for spherical maximal functions. We resolve the remaining open problem for the full maximal operator for $α = 1 - d$ and $p < 2$ and prove a more gen…

math.CA2026

Mollified disc multipliers

Anthony Carbery, Andreas Seeger

We prove a sharp boundedness result on $L^{4} (R^{2})$ for mollifications of the disc multiplier.

math.CA2026

A lower bound for a variation norm operator associated with circular means

David Beltran, Anthony Carbery, Luz Roncal +1

We prove that a local $L^{p} (V_{2})$ variation norm estimate fails for circular means in two dimensions, and quantify this failure by proving lower bounds for functions of exponential…

math.CA2026

Power weight inequalities for spherical maximal functions

Marco Fraccaroli, Joris Roos, Andreas Seeger

This paper is about spherical maximal functions with general dilation sets acting on functions in weighted $L^{p} (∣ x ∣^{α})$ spaces. Aside from endpoint cases, a complete description of…