Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Chunxia Tao"'
Autor:
Chunxia Tao
Publikováno v:
Advanced Nonlinear Studies. 21:167-187
Through conformal map, isoperimetric inequalities are equivalent to the Hardy–Littlewood–Sobolev (HLS) inequalities involved with the Poisson-type kernel on the upper half space. From the analytical point of view, we want to know whether there ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1d386555defb21fed68293cecc20447
https://doi.org/10.1515/ans-2020-2112
https://doi.org/10.1515/ans-2020-2112
Publikováno v:
Revista Matemática Iberoamericana. 36:1289-1308
In this paper, we establish the following Stein–Weiss inequality with the fractional Poisson kernel. Then we prove that there exist extremals for the Stein–Weiss inequality (⋆), and that the extremals must be radially decreasing about the origi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe5c19db2be43eb616dfd20e14118b65
https://doi.org/10.4171/rmi/1167
https://doi.org/10.4171/rmi/1167
Publikováno v:
Journal of Functional Analysis. 277:1112-1138
In this paper, we establish the existence of extremals for two kinds of Stein–Weiss inequalities on the Heisenberg group. More precisely, we prove the existence of extremals for the Stein–Weiss inequalities with full weights in Theorem 1.1 and th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::496fe803c9ca6828924d884f0eea5376
https://doi.org/10.1016/j.jfa.2019.01.002
https://doi.org/10.1016/j.jfa.2019.01.002
Publikováno v:
Acta Mathematica Sinica, English Series. 35:853-875
The purpose of this paper is five-fold. First, we employ the harmonic analysis techniques to establish the following Hardy-Littlewood-Sobolev inequality with the fractional Poisson kernel on the upper half space $$\int_{\mathbb{R}_ + ^n} {{{\int_{\pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d63d8b44753dcc5b1a9145eee1a335b5
https://doi.org/10.1007/s10114-019-8417-2
https://doi.org/10.1007/s10114-019-8417-2
Publikováno v:
Advanced Nonlinear Studies. 19:475-494
The purpose of this paper is four-fold. First, we employ the reverse weighted Hardy inequality in the form of high dimensions to establish the following reverse Stein–Weiss inequality on the upper half space: ∫ ℝ + n ∫ ∂ ℝ + n | x |
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8604ddaea4d5bf916692cc830af87d44
https://doi.org/10.1515/ans-2018-2038
https://doi.org/10.1515/ans-2018-2038
Publikováno v:
Revista Mathematica Iberoamericana; 2020, Vol. 36 Issue 5, p1289-1308, 20p
Publikováno v:
Transactions of the American Mathematical Society; 12/1/2018, Vol. 370 Issue 12, p8429-8450, 22p