A Characterization of Compact SG Pseudo-differential Operators on L2(ℝn). (17th July 2014)

• Record Type: Journal Article
• Authors: Damanik, David; Ruzhansky, Michael; Vougalter, Vitali; Wong, M.W.; Molahajloo, S.
• Is Part Of: Mathematical modelling of natural phenomena. Volume 9:Number 5(2014)
• Page Start: 239
• Page End: 243
• Publication Date: 2014-07-17
• Subjects: Science -- Mathematical models -- Periodicals; Medicine -- Mathematical models -- Periodicals; Biology -- Mathematical models -- Periodicals; 501.51
• DOI: 10.1051/mmnp/20149515
• Languages: English
• ISSNs: 0973-5348

Abstract

<abstract abstract-type="normal" xml:lang="en"> <title> <x content-type="archive" xml:space="preserve">Abstract</x> </title> <p>We give a necessary and sufficient condition for pseudo-differential operators with SG symbols to be compact from <italic>L</italic>²(<italic>ℝ</italic>^{<italic>n</italic>}) into <italic>L</italic>²(<italic>ℝ</italic>^{<italic>n</italic>}).</p> </abstract>