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A class of $ L\sp{p}$-bounded pseudo-differential operators


Author: Reinhard Illner
Journal: Proc. Amer. Math. Soc. 51 (1975), 347-355
MSC: Primary 47G05; Secondary 35S05
MathSciNet review: 0383153
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Abstract: Pseudo-differential operators with symbol $ p(x,\xi ,y) \in S_{\rho ,\delta ,\varepsilon }^\mu ,\mu \leq (\rho - 1)(n + 1)$, are proven to be generally $ {L^p}$-bounded for $ 1 < p < \infty $.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0383153-9
Article copyright: © Copyright 1975 American Mathematical Society