Asymptotic behavior of singular values of Toeplitz and Hankel operators on Fock-type spaces

In this paper, we study the asymptotic behavior of singular values of compact Toeplitz and Hankel operators on Fock-type spaces $$F^2_\Psi $$ over $$\mathbb {C}^d$$ . For Toeplitz operators $$T_\mu $$ induced by positive Borel measure $$\mu $$ , we characterize the asymptotic behavior of the singular values sequence $$\{s_n(T_\mu )\}_{n=1}^{\infty }$$ in terms of the non-increasing rearrangement of the local averaging function and the Berezin transform of $$\mu $$ . For Hankel operators $$H_f$$ with locally integrable symbols, we establish asymptotic estimates for $$\{s_n(H_f)\}_{n=1}^{\infty }$$ via the non-increasing rearrangement of a certain Luecking-type function.