Sharp reversed Hardy–Littlewood–Sobolev inequality with extension kernel
نویسندگان
چکیده
In this paper, we prove the following reversed Hardy–Littlewood–Sobolev inequality with extension kernel: $$\int _{\mathbb R_+^n}\int _{\partial\mathbb R^n_+}\frac{x_n^\beta}{|x-y|^{n-\alpha}}f(y)g(x)\,dy\,dx\geq C_{n,\alpha ,\beta ,p}\|f\|_{L^{p}(\partia
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2023
ISSN: ['0039-3223', '1730-6337']
DOI: https://doi.org/10.4064/sm220323-26-1