CORDIS Project
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This project investigates the geometric and analytical properties of weight functions in harmonic analysis. It aims to enhance fundamental inequalities related to specific weight classes and explore the geometry of their extension domains using a combination of classical and probabilistic methods.
Our research focuses on the study of geometric and analytical aspects of various classes of weight functions that are ubiquitous in harmonic analysis.
The main goals of this project are to substantially improve some of the well-known fundamental norm inequalities for Muckenhoupt weights (the Reverse Hölder Inequality) and BMO functions (the John-Nirenberg estimate), to continue developing the theory of Békollé-Bonami weights in all dimensions, and to describe the geometry of the extension domain…
NORGES TEKNISK-NATURVITENSKAPELIGE UNIVERSITET NTNU
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