Regularity and continuity of commutators of the Hardy–Littlewood maximal function
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DOI: 10.1002/mana.201900013
Abstract: Let M be the Hardy–Littlewood maximal function and let [b,M] be its corresponding commutator. For 1 read more here.
Keywords: hardy littlewood; littlewood maximal; continuity commutators; maximal function ... See more keywords
Maximal function estimates and self-improvement results for Poincaré inequalities
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DOI: 10.1007/s00229-018-1016-1
Abstract: Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincaré inequalities related to differentiable structures on metric measure spaces. As an application, we give structure… read more here.
Keywords: maximal function; self improvement; poincar inequalities;
Some notes on commutators of the fractional maximal function on variable Lebesgue spaces
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DOI: 10.1186/s13660-019-1960-7
Abstract: Let 0 read more here.
Keywords: lebesgue spaces; fractional maximal; maximal function; variable lebesgue ... See more keywords
Sharp $L^p$-bounds for the martingale maximal function
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DOI: 10.2748/tmj/1520564421
Abstract: The paper studies sharp weighted L inequalities for the martingale maximal function. Proofs exploit properties of certain special functions of four variables and self-improving properties of Ap weights. read more here.
Keywords: sharp bounds; maximal function; bounds martingale; martingale maximal ... See more keywords