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
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