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
A family of non-isomorphic maximal function fields
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DOI: 10.1007/s00209-024-03650-1
Abstract: The problem of understanding whether two given function fields are isomorphic is well-known to be difficult, particularly when the aim is to prove that an isomorphism does not exist. In this paper we investigate a… read more here.
Keywords: maximal function; non isomorphic; function; function fields ... 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
Commutators of some maximal functions with Lipschitz functions on mixed Morrey spaces
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DOI: 10.2298/fil2431031y
Abstract: Let 0 ? ? < n, M? bethe fractional maximal function, M? be the sharp maximal function and b be the locally integrable function. Denote by [b, M?] and [b, M?] be the commutators of… read more here.
Keywords: maximal function; commutators maximal; mixed morrey; morrey spaces ... 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