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- W2962743409 abstract "The aim of this paper is to show that the discrete maximal function $${M_h}f(x) = mathop {sup }limits_{N in {Bbb N}} frac{1}{{left| {{N_h} cap left[ {1,N} right]} right|}}left| {sumlimits_{n in {N_h} cap left[ {1,N} right]} {f(x - n)} } right|,{text{ for }}x in {Bbb Z}$$ , where N h = {n ∈ ℕ: there exists m ∈ ℕ such that n = ⌊h(m)⌋} for an appropriate function h, is of weak type (1, 1). As a consequence, we also obtain a pointwise ergodic theorem along the set N h ." @default.
- W2962743409 created "2019-07-30" @default.
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- W2962743409 date "2015-09-01" @default.
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- W2962743409 title "Weak type (1, 1) inequalities for discrete rough maximal functions" @default.
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- W2962743409 doi "https://doi.org/10.1007/s11854-015-0030-4" @default.
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