Czechoslovak Mathematical Journal, Vol. 73, No. 3, pp. 941-954, 2023
Fredholmness of pseudo-differential operators with nonregular symbols
Kazushi Yoshitomi
Received September 9, 2022. Published online May 19, 2023.
Abstract: We establish the Fredholmness of a pseudo-differential operator whose symbol is of class $C^{0,\sigma}$, $0<\sigma<1$, in the spatial variable. Our work here refines the work of H. Abels, C. Pfeuffer (2020).
Keywords: Fredholmness; pseudo-differential operator; nonregular symbol
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Affiliations: Kazushi Yoshitomi, Department of Mathematical Sciences, Tokyo Metropolitan University, Minamiohsawa 1-1, Hachioji, Tokyo 192-0397, Japan, e-mail: yositomi@tmu.ac.jp
