WebFeb 18, 2024 · The dyadic maximal operator has enjoyed a bit less attention than its continuous counterparts, such as the centered and the uncentered Hardy–Littlewood maximal operator. The dyadic maximal operator is different in the sense that formula ( 1.2 ) only holds for \(\alpha =0\) , \(p=1\) and only in the variation sense, for which formula ( … WebThe boundedness of the Hardy–Littlewood maximal operator, and the weighted extrapolation in grand variable exponent Lebesgue spaces are established provided that Hardy–Littlewood maximal operator is … Expand. View 2 excerpts, cites results and methods; Save. Alert.
Hardy–Littlewood maximal function of τ -measurable …
Web1.2. The Hardy-Littlewood Maximal Operator and the Strong Maximal Operator The Hardy-Littlewood maximal operator and its variants, along with so-called square functions and singular integrals, form the central objects of study in har-monic analysis [12]. It is de ned as follows. De nition. Let fbe a locally integrable function on Rd. The ... WebWe define Hardy-Littlewood maximal operator M by. M f ( x) = sup r > 0 1 B ( x, r) ∫ B ( x, r) f ( y) d y. where B ( x, r) denotes the ball centered at x ∈ R n with radius r > 0. Let 1 ≤ p < ∞ . We define the weak Lebesgue space w L p ( R d) as the set of all measurable functions f on R d such that. ‖ f ‖ w L p = sup γ > 0 ... 取り寄せ カヌレ
Sharp Inequalities for the Hardy–Littlewood Maximal …
WebThe sharp estimates of the m-linear p-adic Hardy and Hardy-Littlewood-Polya operators on Lebesgue spaces with power weights are obtained in this paper. ... HARDY-LITTLEWOOD-POLYA INEQUALITY FOR A LINEAR DIFFERENTIAL OPERATOR AND SOME RELATED OPTIMAL PROBLEMS [J] ... Sharp estimates for dyadic-type maximal operators and … WebHardy-Littlewood maximal operator on L^p (x) (ℝ) A. Nekvinda Published 2004 Mathematics Mathematical Inequalities & Applications View via Publisher files.ele-math.com Save to Library Create Alert Cite 258 Citations Citation Type More Filters Wavelet characterization of Sobolev spaces with variable exponent M. Izuki Mathematics 2011 WebHardy-Littlewood maximal operator, the main tool in our proof will be the following spherical maximal operator MS, initially defined for f∈ S(Rd) by MSf(x) = sup r>0 Z Sd−1 f(x−ry)dσ(y) , x∈ Rd, where dσdenotes the normalized Haar measure on Sd−1, and for which we will prove in particular the following vector-valued estimates ... 取り寄せ うなぎ