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On an integral inequality and related summability results
Authors:Arturo Popoli
Affiliation:(1) Dipartimento di Matematica e Applicazioni "ldquo"R. Caccioppoli"rdquo", Universita "ldquo"Federico II"rdquo" di Napoli, Via Cintia, Complesso Monte Sant'Angelo, 80126 Napoli, Italia
Abstract:We introduce the class Epq of functions satisfying a new integral reverse inequality and we study the relationships with the classical Gehring and Muckenhaupt classes. In our main result, we prove higher integrability properties that generalize and improve the results obtained in [7] and [1].
Keywords:
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