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Sharp Adams type inequalities for the fractional Laplace-Beltrami operator on noncompact symmetric spaces by Bhowmik, Mithun is a scholarly article available to read on EtoBox.

What is Sharp Adams type inequalities for the fractional Laplace-Beltrami operator on noncompact symmetric spaces about?

We establish sharp Adams type inequalities on Sobolev spaces $W^{\alpha, n/\alpha}(X)$ of any fractional order $\alpha< n$ on Riemannian symmetric space $X$ of noncompact type with dimension $n$ and of arbitrary rank. We also establish sharp Hardy-Adams inequalities on the Sobolev spaces $W^{n/2, 2}(X)$. For the real hyperbolic spaces, such results were recently obtained by J. Li et al. (Trans. AMS, 2020). We use Fourier analysis on the symmetric spaces to obtain these results.

Author

Bhowmik, Mithun

Published

2021

Language

EN