Abstract
In this chapter, we begin our study of Orlicz functions Φ and corresponding Orlicz spaces L Φ . We prove that \((\mathbf{L}_{\varPhi },\|\cdot \|_{\mathbf{L}_{\varPhi }})\) is a maximal symmetric space, find the fundamental functions \(\varphi _{\mathbf{L}_{ \varPhi }}\) of L Φ , and consider several simple examples.
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© 2016 Springer International Publishing Switzerland
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Rubshtein, BZ.A., Grabarnik, G.Y., Muratov, M.A., Pashkova, Y.S. (2016). Definition and Examples of Orlicz Spaces. In: Foundations of Symmetric Spaces of Measurable Functions. Developments in Mathematics, vol 45. Springer, Cham. https://doi.org/10.1007/978-3-319-42758-4_13
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DOI: https://doi.org/10.1007/978-3-319-42758-4_13
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-42756-0
Online ISBN: 978-3-319-42758-4
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