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Hardy littlewood maximal operator

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 https://paulwhyle.com

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

A New Proof of the Hardy‐Littlewood Maximal Theorem

Category:Hardy-Littlewood maximal operator on L^p(x) (ℝ) - Semantic Scholar

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Hardy littlewood maximal operator

Hardy-Littlewood maximal operator on Lp(x)(Rn) - ResearchGate

WebAug 16, 2001 · The simplest example of such a maximal operator is the centered Hardy-Littlewood maximal operator defined by (1.1) Mf(x)=sup h&gt;0 1 2h x+h x−h f for every f ∈ L1(R ). The weak-type (1,1) inequality for this operator says that there exists a constant C&gt;0 such that for every f ∈ L1(R ) and every WebApr 10, 2024 · We study different geometric properties on infinite graphs, related to the weak-type boundedness of the Hardy–Littlewood maximal averaging operator. In …

Hardy littlewood maximal operator

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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 &gt; 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). WebIn this paper we consider the Hardy-Littlewood maximal operator, (1.1) Mf(x) = sup B3x 1 jBj Z B\ jf(y)jdy; where the supremum is taken over all balls B which contain x and for …

WebHere M is the Hardy–Littlewood maximal operator in ℝ n, Hα is the α-dimensional Hausdorff content, and the integrals are taken in the Choquet sense. The Choquet … WebJan 20, 2016 · Moreover, the same is true for the truncated uncentered Hardy-Littlewood maximal operator. Finally, we investigate the properties of the iterated Hardy …

WebOct 3, 2014 · The main aim of this paper is to introduce an appropriate dyadic one-sided maximal operator , smaller than the one-sided Hardy–Littlewood maximal operator M+ but such that it controls M+ in a similar way to how the usual dyadic maximal operator controls the Hardy-Littlewood maximal operator. WebNov 14, 2011 · THE HARDY–LITTLEWOOD MAXIMAL FUNCTION AND WEIGHTED LORENTZ SPACES MARÍA J. CARRO and JAVIER SORIA Journal of the London Mathematical Society Published online: 1 February 1997 Article Maximal Operators and Cantor Sets Kathryn E. Hare Canadian Mathematical Bulletin Published online: 20 …

Web1 Consider the centered Hardy_littlewood maximal operator M f ( x) := sup r &gt; 0 1 B ( x, r) ∫ B ( x, r) f ( y) d y and the uncentered M f ( x) := sup r &gt; 0, y − x &lt; r 1 B ( y, r) ∫ …

WebSharp estimates of the modified Hardy Littlewood maximal operator on the nonhomogeneous space via covering lemmas. In this paper we consider the modified maximal operator on the separable metric space. Define M k f (x) = sup r > 0 1/μ (B (x, kr))∫ B ( x , r ) ‖f (y)‖dμ (y) and M k , u c f (x) = sup x , B ( y , r )…. 取り寄せ カレーラーメンWebApr 23, 2024 · For a function , the Hardy–Littlewood maximal operator on G is defined as. If G has vertices, the maximal operator can be rewritten by. Over the last several years … 取り寄せ カレーライス取り寄せ かにWebApr 1, 2004 · We consider Hardy-Littlewood maximal operator on the general Lebesgue space L-p(x)(R-n) with variable exponent. A sufficient condition on the function p is known for the boundedness of the maximal ... 取り寄せ カレー ランキングWebFor which metric measure spaces is the Hardy-Littlewood maximal operator not of weak type (1,1)? 4. Hardy-Littlewood-Sobolev inequality in Lorentz spaces. 2. A simple question about the Hardy-Littlewood maximal function. 4. Bound the operator norm of the Fréchet derivative of a Lipschitz function in this setting. 5. 取り寄せグルメ 人気WebOct 1, 2006 · Keywords: τ-Measurable operator; Hardy–Littlewood maximal function; von Neumann algebra 0. Introduction Nelson [2] defined the measure topology of τ-measurable operators affiliated with a semi- finite von Neumann algebra. Fack and Kosaki [1] studied generalized s-numbers of τ-measurable operators, proved dominated convergence … 取り寄せ ギフト お菓子WebMar 24, 2024 · Title: Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator Authors: Luc Deleaval (LAMA), Christoph Kriegler (LMBP) Download … 取り寄せ カニしゃぶ