Geodesic
Two-Dimensional Töplitz Operators with Measurable Symbols
Matematičeskie zametki, Tome 74 (2003) no. 1, pp. 88-98.

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For the complete algebra of two-dimensional Töplitz operators with measurable bounded symbols, we establish conditions necessary for the Fredholm property of the operators and prove results on the separation of singularities of the symbols. As a corollary, conditions sufficient for the Fredholm property are established for operators with symbols satisfying local conditions of sectorial type. 
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L. I. Sazonov. Two-Dimensional Töplitz Operators with Measurable Symbols. Matematičeskie zametki, Tome 74 (2003) no. 1, pp. 88-98. http://geodesic.mathdoc.fr/item/MZM_2003_74_1_a9/

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