Bahçeşehir Üniversitesi Analiz ve Uygulamalı Matematik Seminerleri
Weighted Hardy inequality on topological measure spaces
Kairat Mynbaev
Kazakh-British Technical University, Almaty, Kazakhstan, Kazakistan
The talk is about a multidimensional Hardy operator in weighted Lebesgue spaces. We describe the history of the subject, with emphasis on the recent results by Prokhorov, Stepanov and Ushakova (2018), Ruzhansky and Yessirkegenov (2019), Ruzhansky and Verma (2021) and Sinnamon (2022). We explain why the transition from one dimension to many dimensions took so long and what tools have been used by different authors. Then we report new results and share plans for future research.
