arXiv Open Access 2023

The optimal constant in the $L^{2}$ Folland-Stein inequality on the H-type group

Qiaohua Yang
Lihat Sumber

Abstrak

We determine the optimal constant in the $L^{2}$ Folland-Stein inequality on the H-type group, which partially confirms the conjecture given by Garofalo and Vassilev (Duke Math. J., 2001). The proof is inspired by the work of Frank and Lieb (Ann. of Math., 2012) and Hang and Wang.

Topik & Kata Kunci

Penulis (1)

Q

Qiaohua Yang

Format Sitasi

Yang, Q. (2023). The optimal constant in the $L^{2}$ Folland-Stein inequality on the H-type group. https://arxiv.org/abs/2301.03332

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2023
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓