Spectral theory of SG pseudo-differential operators on L<sup>p</sup>(R<sup>n</sup>)

Aparajita Dasgupta, M. W. Wong

Type: Article

Publication Date: 2008-01-01

Citations: 23

DOI: https://doi.org/10.4064/sm187-2-5

Abstract

To every elliptic SG pseudo-differential operator with positive orders, we associate the minimal and maximal operators on $L^p(\mathbb R^n),\,1< p< \infty,$ and prove that they are equal. The domain of the minimal (= maximal) operator is explicitly

Locations

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Works Cited by This (14)

Action	Title	Year	Authors
+	Global hypoellipticity and spectral theory	1996	Paolo Boggiatto Ernesto Buzano Luigi Rodino
+	Spectral Theory of Pseudo-Differential Operators	1994	M. W. Wong
+	On the essential spectrum of an arbitrary operator. I	1966	Martin Schechter
+ PDF Chat	Fredholm pseudo-differential operators on weighted Sobolev spaces	1983	M. W. Wong
+ PDF Chat	SG-Pseudodifferential Operators and Gelfand-Shilov Spaces	2006	Marco Cappiello Luigi Rodino
+	On the essential spectrum of partial differential boundary problems	1959	František Wolf
+	Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I	1959	Shmuel Agmon Avron Douglis Louis Nirenberg
+	Spectra of partial differential operators	1986	Martin Schechter
+	K-Theory of SG-pseudo-differential algebras	2003	Fabio Nicola
+	Cauchy problem for SG-hyperbolic equations with constant multiplicities	1999	Sandro Coriasco Luigi Rodino