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arxiv: 1205.6516 · v3 · pith:S4WIFWKDnew · submitted 2012-05-29 · 🧮 math.CA

Norm inequalities in generalized Morrey spaces

classification 🧮 math.CA
keywords operatorsspacesassociatedboundedmorreyappropriatebochner-rieszcalder
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We prove that Calder\'on-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.

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