Open AccessA new class of pseudo-differential operators
Author(s) -
Alexander Nagel,
Elias M. Stein
Publication year - 1978
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.75.2.582
Subject(s) - class (philosophy) , differential (mechanical device) , mathematics , fourier integral operator , function (biology) , differential operator , differential equation , mathematical analysis , pure mathematics , operator theory , computer science , physics , artificial intelligence , biology , evolutionary biology , thermodynamics
We describe a class of pseudo-differential operators and their singular integral realizations and show how these may be used to give precise estimates in various function spaces. Application will be given in particular to several situations in which subelliptic estimates arise for partial differential equations.