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National Repository of Grey Literature

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	Sobolev inequality with variable exponent Rákosník, Jiří Recently, an increasing attention has been payed to partial differential equations and variational integrals involving coefficients of nonstandard growth. A natural tool to handle some of the related problems may be theory of spaces of functions integrable with variable exponent. The paper discusses the Sobolev inequality in this context and shows that it holds if the exponentfunction is Lipschitz-continuous. Detailed record
	Supremum operators and optimal Sobolev inequalities Pick, Luboš We study the problem of optimality of rearrangement-invariant norms for which a Sobolev-type inequality holds. A key role is played by a Hardy-type operator involving supremum. Detailed record
	On boundedness of fractional maximal operators between classical Lorentz spaces Opic, Bohumír We characterize the boundedness of fractional power-logarithmic maximal operators between classical Lorentz spaces. Detailed record

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