Regularity properties of commutators and -Triebel-Lizorkin spaces
Abdellah Youssfi (1995)
Annales de l'institut Fourier
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In this paper we consider the regularity problem for the commutators where is a locally integrable function and are the Riesz transforms in the -dimensional euclidean space . More precisely, we prove that these commutators are bounded from into the Besov space for and if and only if is in the -Triebel-Lizorkin space . The reduction of our result to the case gives in particular that the commutators are bounded form into the Sobolev space if and only if ...