Abstract
In the previous chapters we studied the spaces \(L^{p(.)}\) with general variable exponent p. We have seen that many results hold for fairly wild exponents, including discontinuous ones, in this general setting. We studied complete ness, separability, reflexivity, and uniform convexity.
Keywords
- Maximal Operator
- Weak Type
- Decay Condition
- Pointwise Estimate
- Variable Exponent
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2011 Springer-Verlag Berlin Heidelberg
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Diening, L., Harjulehto, P., Hästö, P., Růžička, M. (2011). The Maximal Operator. In: Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics(), vol 2017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18363-8_4
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DOI: https://doi.org/10.1007/978-3-642-18363-8_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-18362-1
Online ISBN: 978-3-642-18363-8
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