Abstract
We consider pseudo-differential operators in the L.Hörmander class OPS m1,0 acting on Hölder-Zygmund spaces with exponential weights. The necessary and sufficient conditions for operators under consideration to be Fredholm and a description of their essential spectra have been obtained. We also prove the Fragmen-Lindelöf principle for exponential decreasing of solutions of pseudo-differential equations.
Supported by the CONACYT project No. 43432.
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Rabinovich, V. (2006). Fredholm Property of Pseudo-Differential Operators on Weighted Hölder-Zygmund Spaces. In: Boggiatto, P., Rodino, L., Toft, J., Wong, M.W. (eds) Pseudo-Differential Operators and Related Topics. Operator Theory: Advances and Applications, vol 164. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7514-0_7
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DOI: https://doi.org/10.1007/3-7643-7514-0_7
Publisher Name: Birkhäuser Basel
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