Let \((\mathcal {B}, \Sigma , \mu _\infty )\) be a measure space, where \(\mathcal {B}\) is an abstract set, \(\Sigma \) is a \(\sigma \) -algebra of subsets of the set \(\mathcal {B},~\mu _\infty \) is a \(\sigma \) -finite, positive, complete measure on \(\Sigma .~\mathcal {X}\) is a Banach space.

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Modular Convergence in H-Orlicz Spaces of Banach Valued Functions

  • Bipan Hazarika,
  • Hemanta Kalita

摘要

Let \((\mathcal {B}, \Sigma , \mu _\infty )\) be a measure space, where \(\mathcal {B}\) is an abstract set, \(\Sigma \) is a \(\sigma \) -algebra of subsets of the set \(\mathcal {B},~\mu _\infty \) is a \(\sigma \) -finite, positive, complete measure on \(\Sigma .~\mathcal {X}\) is a Banach space.