Research

Mathematical Sciences

Title :

Pseudo-multipliers and wave equation associated to Grushin operators

Area of research :

Mathematical Sciences

Principal Investigator :

Mr. Riju Basak, Indian Institute Of Science Education And Research (IISER) Mohali, Punjab

Timeline Start Year :

2022

Timeline End Year :

2024

Contact info :

Details

Executive Summary :

1. Obtaining sharp weighted estimates for pseudo-multipliers associated to the Grushin operator. 2. Studying boundedness of commutators (with BMO functions) of pseudo-multipliers associated to the Grushin operator. 3. Exploring boundedness of Grushin pseudo-multipliers on various Triebel-Lizorkin spaces. 4. Studying boundedness of the solution of wave equation associated to a more general family of Grushin operators.

Organizations involved