The Augustin Cauchy Colloquium at KSoM will be held on August 2, 2024.
Title: Imbedding of critical Fractional Sobolev Spaces
Speaker: Adi Adimurthi
Affiliation: TIFR CAM
Venue: Seminar Hall, KSoM
Date and Time: August 2, 2024 at 3:30 PM
Abstract: It is shown by Dyda that for 
or 
, fractional Sobolev spaces are embedded in Weighted Lebesgue spaces with weight %5E%7B-sp%7D "d(x,\partial \omega)^{-sp}")
. He also showed that it is optimal and it will not be true for 
, the critical case. In this talk I will address this problem and show what is the correct weight to be taken in the imbedding. This is a joint work with Prosenjit Roy, Purbita Jana and Prosenjit Roy, Vivek Sahu.
or , fractional Sobolev spaces are embedded in Weighted Lebesgue spaces with weight . He also showed that it is optimal and it will not be true for , the critical case. In this talk I will address this problem and show what is the correct weight to be taken in the imbedding. This is a joint work with Prosenjit Roy, Purbita Jana and Prosenjit Roy, Vivek Sahu.