Hardy dx c of a
Webs(Θ(x,f))dx≤ ∫a 0 s(Θ(x,f∗))dx. It may seem that this theorem is just a generalization of the previous one but the proof of it is much more involved. Three "original" maximum functions of Hardy and Littlewood are defined later in the text for integrable 2πperiodic function (here we keep the original notations) M(θ) = M(θ,f) = max 0 ... WebHardy (2024) Hardy (* 13. September 1990 in Philadelphia, Mississippi; bürgerlich: Michael Wilson Hardy) ist ein US-amerikanischer Country -/ Rock -Sänger und Songwriter. Als …
Hardy dx c of a
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WebThis is a corollary of the Hardy–Littlewood maximal inequality. Hardy–Littlewood maximal inequality. This theorem of G. H. Hardy and J. E. Littlewood states that M is bounded as a sublinear operator from the L p (R d) to itself for p > 1. That is, if f ∈ L p (R d) then the maximal function Mf is weak L 1-bounded and Mf ∈ L p (R d).
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