Lp Estimates of Marcinkiewicz Integral Operators

Project: Other project

Project Details

Description

In this project, we will investigate the Lp mapping properties of a class of Marcinkiewicz integral operators. The aim is to prove Lp bounds of operators with rough kernels when they and defined along certain subvarieties. The concentration will be on subvarieties that are determined by suitable flat curves.

Layman's description

In this project, we will investigate the Lp mapping properties of a class of Marcinkiewicz integral operators. The aim is to prove Lp bounds of operators with rough kernels when they and defined along certain subvarieties. The concentration will be on subvarieties that are determined by suitable flat curves.
AcronymTTotP
StatusNot started

Keywords

  • Marcinkiewicz integrals
  • Rough kernels
  • Flat curves
  • Subvarieties

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