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- W3204857734 abstract "A generalization of the theory of Y. Brudnyi [7], and A. and Y. Brudnyi [5, 6], is presented. Our construction connects Brudnyi’s theory, which relies on local polynomial approximation, with new results on sparse domination. In particular, we find an analogue of the maximal theorem for the fractional maximal function, solving a problem proposed by Kruglyak–Kuznetsov. Our spaces shed light on the structure of the John–Nirenberg spaces. We show that SJN p (sparse John–Nirenberg space) coincides with L p ,1<p<∞. This characterization yields the John–Nirenberg inequality by extrapolation and is useful in the theory of commutators." @default.
- W3204857734 created "2021-10-11" @default.
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- W3204857734 date "2021-10-08" @default.
- W3204857734 modified "2023-10-16" @default.
- W3204857734 title "Sparse Brudnyi and John–Nirenberg Spaces" @default.
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- W3204857734 doi "https://doi.org/10.5802/crmath.252" @default.
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