Research
Title : | Bilinear Bochner Riesz and bilinear maximal operators |
Area of research : | Mathematical Sciences |
Focus area : | Harmonic Analysis |
Principal Investigator : | Dr. Ankit Bhojak, Indian Institute of Science Education And Research (IISER) Bhopal, Madhya Pradesh |
Timeline Start Year : | 2024 |
Timeline End Year : | 2026 |
Contact info : | ankitb@iiserb.ac.in |
Details
Executive Summary : | The project aims to study the boundedness properties of the bilinear Bochner Riesz operators on convex domains in the plane. The bilinear Kakeya maximal function arises naturally in the study of such operators; we are also interested in studying its boundedness in dimensions greater than two. We will also consider the uncentered analogue of the bilinear spherical maximal function. Another important aspect of this project is the study of boundedness of single-scale averages and maximal functions of bilinear Radon transform that exhibits modulation invariance property similar to that of the well-studied bilinear Hilbert transform. |
Organizations involved
Implementing Agency : | Indian Institute of Science Education And Research (IISER) Bhopal, Madhya Pradesh Funding Agency :Anusandhan National Research Foundation (ANRF)/ Science and Engineering Research Board (SERB) | Source :Science and Engineering Research Board (SERB), DST | |