Fractional maximal function

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August undefined, 2024

WebRegularity of the centered fractional maximal function on radial functions, (with J. Madrid), J. Funct. Anal., arXiv. Bilinear identities involving the k-plane transform and Fourier extension operators, (with L. Vega), Proc. A Royal Soc. Edinburgh, arXiv. WebNov 24, 2006 · Abstract. We give sharp estimates for the fractional maximal function in terms of Hausdorff capacity. At the same time we identify the real interpolation spaces …

A note on the one-dimensional maximal function

WebMar 15, 2024 · We prove endpoint bounds for derivatives of fractional maximal functions with either smooth convolution kernel or lacunary set of radii in dimensions n ≥ 2.We also … WebFRACTIONAL, MAXIMAL AND SINGULAR OPERATORS ... 3 2. Deﬂnitions 2.1. On variable exponent Lebesgue spaces and Hardy operators Let › be an open set in Rn and „ a Borel measure on ›. Let p(x) be a „-measurable function on › such that 1 • p¡:= essinf p(x) • p+:= esssupp(x) < 1: By Lp(¢)(›) we denote the space of measurable functions f(x) on › … freer x9

Fractional Maximal Functions in Metric Measure Spaces - Semantic …

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. 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 … WebThe maximum or minimum over the entire function is called an "Absolute" or "Global" maximum or minimum. There is only one global maximum (and one global minimum) … freer whistler room

Fractional maximal function

Hardy–Littlewood maximal function - Wikipedia

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 … 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 …

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WebJun 9, 2003 · REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION - Volume 35 Issue 4. The purpose of this work is to show that the fractional maximal operator has … WebNov 20, 2024 · A Characterization of two Weight Norm Inequalities for One-Sided Operators of Fractional Type - Volume 49 Issue 5. Skip to main content Accessibility help ... Some weighted weak-type inequalities for the Hardy-Littlewood …

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 … WebApr 4, 2024 · Download a PDF of the paper titled Fractional maximal functions and mean oscillation on bounded doubling metric measure spaces, by Ryan Gibara and 1 other authors Download PDF Abstract: Let $(X,d,\mu)$ be a doubling metric measure space.

WebJan 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 … WebOct 10, 2015 · Derivative bounds for fractional maximal functions @article{Carneiro2015DerivativeBF, title={Derivative bounds for fractional maximal …

WebJan 1, 1989 · Also a new two-weight testing condition for the one-sided fractional maximal function is introduced extending the work of Martín-Reyes and de la Torre. Improving some extrapolation result for the ...

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, farm manager softwareWebDec 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 … freer weather 10 day forecastWeb1 Answer. Lemma. (Riesz) Let G: R → R be a continuous function, and let E be the set of points x such that. If E ≠ ∅, then E is open and can be written as the countable union of … farm mania 1 full version free downloadWebHardy–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 > 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 ... freerx9WebSep 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] freerxhotline.comWebJan 7, 2024 · Meanwhile, the corresponding results for the un-centered maximal functions as well as the fractional integral operators with respect to measure $\unicode[STIX]{x1D707}$ are also obtained. Keywords. limiting weak type behavior power weight Hardy-Littlewood maximal operator fractional maximal operator fractional integral. free rx commercial freerxplus.com