Abstract
AbstractThis article contains results about the boundedness of the Hardy–Littlewood maximal operator in variable exponent Lebesgue spaces. We study the situation where the exponent approaches one in some parts of the domain. We show that the boundedness depends on how fast the exponent approaches one and give nearoptimal bounds for necessary and sufficient growths. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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