On the Fredholm Property of Semielliptic Operators in Anisotropic Weighted Spaces in $$\boldsymbol{\mathbb{R}}^{\boldsymbol{n}}$$

Fredholm property of regular hypoelliptic operators on the scales of multianisotropic spaces

“…A. Darbinyan and A .G. Tumanyan [16][17][18] studied a priori estimates and Fredholm criteria for quasielliptic operators with special variable coefficients in anisotropic weighted Sobolev spaces.…”

“…For the considered class of operators, we establish Fredholm criteria and index invariance on the special scale of multianisotropic spaces H k,R,p q (R n ) (see Theorem 3.6). The considered scale of multianisotropic spaces is more general than in the previous works (see, for example, [18,20]).…”