Abstract
In this paper we reprove generalized H\"{o}lder's inequality in weak Morrey spaces.In particular, we get sharper bounds than those in \cite{gunawan2}. Thebounds are obtained through the relation of weak Morrey spaces and weakLebesgue spaces.
Highlights
Holder’s inequality is one of the classic inequality which is proved by L.J
We present new bounds for generalized Holder’s inequality in weak Morrey spaces which are sharper than those in [2]
Morrey spaces with bound m i=1 pi p∗
Summary
Holder’s inequality is one of the classic inequality which is proved by L.J. Rogers in 1888 and reproved by O. Many researchers have obtained new results related to Holder’s inequality. Ifronika et al [2] obtained sufficient and necessary conditions for generalized Holder’s inequality in generalized Morrey spaces. We present new bounds for generalized Holder’s inequality in weak Morrey spaces which are sharper than those in [2]. For 1 ≤ p ≤ q < ∞, the weak Morrey space wMpq(Rn) is the set of all measurable functions f : Rn → R such that f wMpq =
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