Abstract: The real-variable theory of function spaces and the boundedness of operators are central themes in harmonic analysis. In this talk, we begin with Lebesgue spaces with variable exponents. Using the framework of ball quasi-Banach function spaces, we then discuss the one-parameter and multi-parameter Hardy spaces associated with these spaces, along with the boundedness of classical harmonic analysis operators on these spaces.

 

 

Faculty host: Yuming Zhang