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A local estimate for the maximal function in lebesgue spaces with EXP-type exponents
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نویسنده
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fiorenza a.
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منبع
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journal of function spaces - 2015 - دوره : 2015 - شماره : 0
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چکیده
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It is proven that if 1≤p(·)<∞ in a bounded domain ω⊂rn and if p(·)expa(ω) for some a>0,then given flp(·)(ω),the hardy-littlewood maximal function of f,mf,is such that p(·)log(mf)expa/(a+1)(ω). because a/(a+1)<1,the thesis is slightly weaker than (mf)p(·)l1(ω) for some >0. the assumption that p(·)expa(ω) for some a>0 is proven to be optimal in the framework of the orlicz spaces to obtain p(·)log(mf) in the same class of spaces. © 2015 alberto fiorenza.
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آدرس
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dipartimento di architettura,università di napoli,via monteoliveto 3,napoli,italy,istituto per le applicazioni del calcolo mauro picone,sezione di napoli,consiglio nazionale delle ricerche,via pietro castellino 111, Italy
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Authors
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