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In mathematics, the class of Muckenhoupt w … In mathematics, the class of Muckenhoupt weights Ap consists of those weights ω for which the Hardy–Littlewood maximal operator is bounded on Lp(dω). Specifically, we consider functions f on Rn and their associated maximal functions M( f ) defined as where Br(x) is the ball in Rn with radius r and center at x. Let 1 ≤ p < ∞, we wish to characterise the functions ω : Rn → [0, ∞) for which we have a bound where C depends only on p and ω. This was first done by . only on p and ω. This was first done by .
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| rdfs:comment |
In mathematics, the class of Muckenhoupt w … In mathematics, the class of Muckenhoupt weights Ap consists of those weights ω for which the Hardy–Littlewood maximal operator is bounded on Lp(dω). Specifically, we consider functions f on Rn and their associated maximal functions M( f ) defined as where Br(x) is the ball in Rn with radius r and center at x. Let 1 ≤ p < ∞, we wish to characterise the functions ω : Rn → [0, ∞) for which we have a bound where C depends only on p and ω. This was first done by . only on p and ω. This was first done by .
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| rdfs:label |
Muckenhoupt weights
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