What type of study is this?

This is a Quantitative Study study.

October 8, 2025Open Access

Non-Degenerate Multilinear Singular Multipliers with Fractional Rank

Key Points

L^p estimates are established for multilinear multipliers affecting (n-1)-tuples of functions.
Symbol estimates are considered outside a linear subspace of dimension m, with implications for bounds.
The study focuses on fractional rank where the ratio m/d is less than n/2, highlighting challenges.
Understanding the rank's influence on L^p bounds is crucial for advanced mathematical applications.

Abstract

We establish Lᵖ estimates for multilinear multipliers acting on (n-1) -tuples of functions on Rᵈ. We assume that the multiplier satisfies symbol estimates outside a linear subspace of dimension m. The difficulty of proving Lᵖ bounds increases with the rank md, and our focus is on the fractional rank case md<n2 md.

Read Full Paperexternally

Mark Helpful

Bookmark

Relay

View Full Paper

Cite This Study

Jianghao Zhang (Tue,) studied this question.

synapsesocial.com/papers/68e62de1a8c0c6d45873fe93 https://doi.org/https://doi.org/10.48550/arxiv.2503.14635

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Mark Helpful

Bookmark

Relay

View Full Paper