On multilinear maximal operators along homogeneous curves

Suppose thatis a homogeneous polynomial curve.We prove that whenever p 1 , . . ., p n > 1 and 1/ p = n j =1 1/ p j 1, there exists an absolute constant 0Our main tool is a smoothing estimate, adapted from work of Kosz, Mirek, Peluse, Wan, and Wright.

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Publication Details

Journal
Pacific Journal of Mathematics
Published
2026-04-23
DOI
https://doi.org/10.2140/pjm.2026.342.207
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On multilinear maximal operators along homogeneous curves

L. Becker, Ben Krause
Pacific Journal of Mathematics
Holomorphic and Operator Theory
article

On multilinear maximal operators along homogeneous curves

L. Becker, Ben Krause
article en

Abstract

Suppose thatis a homogeneous polynomial curve.We prove that whenever p 1 , . . ., p n > 1 and 1/ p = n j =1 1/ p j 1, there exists an absolute constant 0Our main tool is a smoothing estimate, adapted from work of Kosz, Mirek, Peluse, Wan, and Wright.

Pacific Journal of MathematicsVol. 342(2)
University of Bonn (DE), Princeton University (US), University of Bristol (GB)
Openalex Percentile: Top 97%
Holomorphic and Operator Theory
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