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Multiple Weighted Orlicz Spaces and Applications

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Contributions in Mathematics and Engineering

Abstract

In 2014, author Kuang (Handbook of Functional Equations: Functional Inequalities, vol. 95, pp. 273–280. Springer, Berlin, 2014) introduced the new multiple weighted Orlicz spaces; they are generalizations of the variable exponent Lebesgue spaces. In this paper, we consider further definitions and properties of these spaces and establish some new interest inequalities on these new spaces. They are significant generalizations of many known results.

In Honor of Constantin Carathéodory

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Acknowledgements

Foundation item: This work is supported by the Natural Science Foundation of China (No. 11271123).

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Authors and Affiliations

  1. Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, P.R. China

    Jichang Kuang

Authors
  1. Jichang Kuang
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Correspondence to Jichang Kuang .

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Editors and Affiliations

  1. Industrial and Systems Engineering, University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

  2. Department of Mathematics, National Technical Unversity of Athens Department of Mathematics, Athens, Greece

    Themistocles M. Rassias

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Kuang, J. (2016). Multiple Weighted Orlicz Spaces and Applications. In: Pardalos, P., Rassias, T. (eds) Contributions in Mathematics and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-31317-7_18

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