Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability
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We analyze the modular geometry of the Lebesgue space with variable exponent, L p ( · ) . Our central result is that L p ( · ) possesses a modular uniform convexity property. Part of the novelty is that the property holds even in the case sup x ∈ Ω p ( x ) = ∞ . We present specific applications to fixed point theory.
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2001 ◽
Vol 6
(2)
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pp. 115-129
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Keyword(s):
2019 ◽
Vol 14
(3)
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pp. 311
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1960 ◽
Vol 34
(1)
◽
pp. 1-16
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2010 ◽
Vol 157
(10-11)
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pp. 1804-1814
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