A note on commutators of strongly singular Calderón-Zygmund operators

Abstract

In this article, the authors consider the commutators of strongly singular Calderón-Zygmund operator with Lipschitz functions. A sufficient condition is given for the boundedness of the commutators from Lebesgue spaces Lp(Rn){L}^{p}\left({{\mathbb{R}}}^{n}) to certain Campanato spaces Cp,β(Rn){C}^{p,\beta }\left({{\mathbb{R}}}^{n}).

Keywords

• strongly singular calderón-zygmund operator
• commutator
• lipschitz space
• campanato space
• 42b20
• 42b35
• 47b47