Norm inequalities in generalized Morrey spaces

Abstract

We prove that Calderón-Zygmund operators, Marcinkiewicz operators, maximal operators associated to Bochner-Riesz operators, operators with rough kernel as well as commutators associated to these operators which are known to be bounded on weighted Morrey spaces under appropriate conditions, are bounded on a wide family of function spaces.

14 pages. According to the suggestion of the referee, we have changed the title. To appear in Journal of Fourier Analysis and Applications

References in corpus (2)

• Integrable fractional mean functions on spaces of homogeneous type
• Norms inequalities in some subspaces of Morrey space