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Fractional maximal function

WebFeb 12, 2024 · 1. Introduction. In this paper, the mapping properties of the spherical maximal function and the spherical fractional maximal functions on Herz spaces are obtained. The variation and oscillation inequalities of Riesz transforms on Herz spaces are also established. The Herz space is a generalization of the Lebesgue space. WebNov 4, 2016 · On the regularity of one-sided fractional maximal functions. Mathematica Slovaca, Vol. 68, Issue. 5, p. 1097. CrossRef; Google Scholar; Liu, Feng 2024. Endpoint regularity of discrete multisublinear fractional maximal operators associated with ℓ 1 $\ell^{1}$ -balls. Journal of Inequalities and Applications, Vol. 2024, Issue. 1,

Regularity of the Fractional Maximal Function - Kinnunen - 2003 ...

WebThe fractional maximal operator and fractional integrals on variable Lp spaces Claudia Capone, David Cruz-Uribe, SFO and Alberto Fiorenza Abstract We prove that if the exponent function p(·) satisfies log-H¨older continuity conditions locally and at infinity, then the fractional maxi-maloperatorM α,0 WebApr 11, 2024 · In this paper, a wind speed prediction method was proposed based on the maximum Lyapunov exponent (Le) and the fractional Levy stable motion (fLsm) … intellectual property customer list https://gfreemanart.com

Regularity of the centered fractional maximal function on …

WebJan 1, 2007 · The fractional maximal operator is of interest because it is the natural max- imal operator associated with the fract ional integral operators (also known as the Riesz potentials). Webof the fractional maximal function Mα for 0 ≤ α < Q, where Q is the doubling dimension, acting on functions of bounded mean oscillation (BMO) and vanishing mean oscillation (VMO). For α > 0, we additionally assume that the space is bounded. We show that Mα is bounded from BMO to BLO, a subclass of BMO, and maps VMO to itself when µ has the WebWe introduce a new scale of grand variable exponent Lebesgue spaces denoted by L∼p(·),θ,ℓ . These spaces unify two non‐standard classes of function spaces, namely, grand Lebesgue and variable exponent Lebesgue spaces. The boundedness of integral operators of Harmonic Analysis such as maximal, potential, Calderón–Zygmund … john august swanson artist

(L p , L q ) Boundedness of the fractional maximal operator associated ...

Category:Sobolev regularity of polar fractional maximal functions

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Fractional maximal function

COMMUTATORS OF THE FRACTIONAL MAXIMAL FUNCTION …

WebDec 23, 2016 · The main result shows that the fractional maximal operator maps L p-spaces boundedly into certain first-order Sobolev spaces. It is also proved that the fractional maximal operator preserves first-order Sobolev spaces. This extends known results for the Hardy-Littlewood maximal operator. 2000 Mathematics Subject … WebOct 12, 2024 · The Variation of the Fractional Maximal Function of a Radial Function - 24 Hours access EUR €15.00 GBP £13.00 USD $16.00 Rental. This article is also available …

Fractional maximal function

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WebMar 15, 2024 · The sound absorption properties of the composites were studied by the transfer function method, and under the optimized technological conditions, the sound absorption coefficient of the composites was above 0.9 and the sound absorption band was wide. ... When the mass fraction of DFs was 60%, the maximum sound absorption … WebJan 30, 2013 · Abstract We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain …

WebApr 11, 2024 · In this paper, a wind speed prediction method was proposed based on the maximum Lyapunov exponent (Le) and the fractional Levy stable motion (fLsm) iterative prediction model. First, the calculation of the maximum prediction steps was introduced based on the maximum Le. The maximum prediction steps could provide the prediction … WebHardy–Littlewood maximal inequality [ edit] This theorem of G. H. Hardy and J. E. Littlewood states that M is bounded as a sublinear operator from the Lp ( Rd) to itself for p &gt; 1. That is, if f ∈ Lp ( Rd) then the maximal function Mf is weak L1 -bounded and Mf ∈ Lp ( Rd ). Before stating the theorem more precisely, for simplicity, let ...

WebJan 1, 1993 · We prove two-weight norm estimates for fractional integrals and fractional maximal functions associated with starlike sets in Euclidean space. This is seen to include general positive homogeneous ... WebAug 1, 2010 · In this paper we consider the generalized shift operator, generated by Bessel differen-tial operator B , by means of which maximal functions (B -maximal functions) and fractional integrals (B ...

WebSep 1, 2024 · The variation of the fractional maximal function of a radial function. Int. Math. Res. Not. IMRN, 17 (2024), pp. 5284-5298. CrossRef View in Scopus Google Scholar [22] Madrid J. Endpoint Sobolev and BV continuity for maximal operators, II. Rev. Mat. Iberoam., 35 (2024) Google Scholar [23]

Weband the fractional maximal function Mβ is defined by Mβf(x)=sup Q∋x 1 Q 1−β/n Z f(y) dy, 0< β < n, where the supremum is taken over all cubes Q ⊂ Rn containing x. Let … intellectual property courses 2019intellectual property cybercrimeWebOct 10, 2015 · Derivative bounds for fractional maximal functions @article{Carneiro2015DerivativeBF, title={Derivative bounds for fractional maximal … john augustine accusedWebAug 13, 2014 · J. Bastero, M. Milman, F. J. Ruiz: Commutators for the maximal and sharp functions. Proc. Am. Math. Soc. (electronic) 128 (2000), 3329–3334. Article MATH … intellectual property development incentiveWebJul 19, 2024 · The main result is that bounds on the maximal function sup n can be deduced from those on sup 0 john august swanson prints for saleWeband the fractional maximal function Mβ is defined by Mβf(x)=sup Q∋x 1 Q 1−β/n Z f(y) dy, 0< β < n, where the supremum is taken over all cubes Q ⊂ Rn containing x. Let Q 0 be a fixed cube in Rn. The Hardy-Littlewood maximal function and the fractional maximal function relative to Q 0 are given by MQ0 (f)(x)= sup Q∋x Q⊂Q0 1 Q Z ... john august swanson concordiaWebJan 15, 2024 · When \(\alpha=0\), we simply write M instead of \(M_{0}\), which is exactly the Hardy–Littlewood maximal function. Similar to , we can define two different kinds of … john august screenwriting