Abstract
In this chapter we introduce grand Lebesgue spaces on open sets Ω of infinite measure in \( \mathbb{R}^n \), controlling the integrability of \(\vert{f}(x)\vert^{p-\varepsilon}\) at infinity by means of a weight (depending also on ε); in general, such spaces are different for different ways to introduce dependence of the weight on ε.
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© 2016 Springer International Publishing Switzerland
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Kokilashvili, V., Meskhi, A., Rafeiro, H., Samko, S. (2016). Grand Lebesgue Spaces on Sets of Infinite Measure. In: Integral Operators in Non-Standard Function Spaces. Operator Theory: Advances and Applications, vol 249. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-21018-6_5
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DOI: https://doi.org/10.1007/978-3-319-21018-6_5
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-21017-9
Online ISBN: 978-3-319-21018-6
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