Abstract
The field of variable exponent function spaces has witnessed an explosive growth in recent years. For instance, a search for “variable exponent” in Mathematical Reviews yields 15 articles before 2000, 31 articles between 2000 and 2004, and 242 articles between 2005 and 2010. This is a crude measure with some misclassifications, but it is nevertheless quite telling.
Keywords
- Banach Space
- Sobolev Space
- Maximal Operator
- Lebesgue Space
- Orlicz Space
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). Introduction. 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_1
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DOI: https://doi.org/10.1007/978-3-642-18363-8_1
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Print ISBN: 978-3-642-18362-1
Online ISBN: 978-3-642-18363-8
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