Youssfi, Abdellah Sobolev continuity of certain paradifferential operators. (Continuité-Sobolev de certains opérateurs paradifférentiels.) (French) Zbl 0776.47024 Rev. Mat. Iberoam. 6, No. 3-4, 125-140 (1990). The aim of this paper is to characterize the boundedness of certain paradifferential operators on Besov spaces \(\dot B^ s_{p,q}\). These paradifferential operators arise naturally in the extension of the \(T(1)\)-theorem for singular integral operators to Sobolev spaces \(\dot H^ s\), \(s>0\). Reviewer: J.Marschall (Tutzing) Cited in 1 Review MSC: 47G30 Pseudodifferential operators 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 35S50 Paradifferential operators as generalizations of partial differential operators in context of PDEs Keywords:boundedness of certain paradifferential operators on Besov spaces; \(T(1)\)-theorem for singular integral operators PDFBibTeX XMLCite \textit{A. Youssfi}, Rev. Mat. Iberoam. 6, No. 3--4, 125--140 (1990; Zbl 0776.47024) Full Text: DOI EuDML