Is an Orlicz–Poincaré inequality an open ended condition,and what does that mean? |
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| Authors: | Noel DeJarnette |
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| Institution: | Department of Mathematics, University of Illinois at Urbana–Champaign, 1409 West Green St., Urbana, IL 61801, United States |
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| Abstract: | In 16], Keith and Zhong prove that spaces admitting Poincaré inequalities also admit a priori stronger Poincaré inequalities. We use their technique, with slight adjustments, to obtain a similar result in the case of Orlicz–Poincaré inequalities. We give examples in the plane that show all hypotheses are required. |
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| Keywords: | Orlicz functions Poincaré inequality Maximal function operator |
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