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A CHARACTERIZATION OF FREDHOLM PSEUDO-DIFFERENTIAL OPERATORS
Published online by Cambridge University Press: 01 February 1997
Abstract
We give a necessary and sufficient condition on an elliptic symbol σ of order m to ensure that the unique closed extension in Lp(ℝn) for 1 < p < ∞, of the pseudo-differential operator Tσ, initially defined on the Schwartz space, is a Fredholm operator from Lp(ℝn) into Lp(ℝn) with domain Hm, p, where Hm, p is the Lp Sobolev space of order m.
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- Research Article
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- The London Mathematical Society 1997
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