Results 21 to 30 of about 165 (120)
Existence of Weak Solutions for the Equations of a Non‐Newtonian Fluid With Non‐Standard Growth
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 7, July 2026.ABSTRACT We consider the equations of a non‐Newtonian incompressible fluid in a general time‐space cylinder ΩT=Ω×(0,T)⊂Rn×R,n≥2$\Omega _{T} = \Omega \times (0,T) \subset \mathbb {R}^{n} \times \mathbb {R}, n \ge 2$. We assume that the rheology of the fluid is changing with respect to time and space, and satisfies, for each (x,t)∈ΩT$(x,t) \in \Omega _{T}
Hyeong‐Ohk Bae, Jörg Wolf
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On an improved restricted reverse weak‐type bound for the maximal operator
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We obtain an improved lower bound for the restricted reverse weak‐type estimate of the Hardy–Littlewood maximal operator M$M$. This result is applied to the λ$\lambda$‐median maximal operator mλ$m_{\lambda }$ acting on a Banach function space X$X$.
Andrei K. Lerner
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A strong quantitative form of the fractional isoperimetric inequality
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We show a strong version of the fractional quantitative isoperimetric inequality, in which the isoperimetric deficit controls not only the Fraenkel asymmetry but also a sort of oscillation of the boundary. This generalizes the local result by Fusco and Julin in [22].
Eleonora Cinti +2 more
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Bloom-type two-weight inequalities for commutators of maximal functions
Analysis and Geometry in Metric SpacesWe study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.
Zhang Pu, Fan Di
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A note on maximal operator on ℓ{pn} and Lp(x)(ℝ)
Journal of Function Spaces and Applications, 2007 We consider a discrete analogue of Hardy-Littlewood maximal operator on the generalized Lebesque space ℓ{pn} of sequences defined on ℤ. It is known a necessary and sufficient condition P which guarantees an existence of a real number p>1 such that the ...
Aleš Nekvinda
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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A Local Estimate for the Maximal Function in Lebesgue Spaces with EXP-Type Exponents
Journal of Function Spaces, 2015 It is proven that if 1≤p(·)0, then given f∈Lp(·)(Ω), the Hardy-Littlewood maximal function of f, Mf, is such that p(·)log(Mf)∈EXPa/(a+1)(Ω). Because a/(a+1)0.
Alberto Fiorenza
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Quasilinear Riccati-Type Equations with Oscillatory and Singular Data
Advanced Nonlinear Studies, 2020 We characterize the existence of solutions to the quasilinear Riccati-type ...
Nguyen Quoc-Hung, Phuc Nguyen Cong
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Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We survey ideas surrounding the study of the number of integers that can be represented as the sum of three positive cubes. We focus on the early contribution of Davenport using elementary techniques, and the subsequent developments due to Vaughan, which introduced Fourier analysis and mirrored many of the important developments of the Hardy ...
James Maynard
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Demonstratio MathematicaWe study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new
Zhang Pu, Fan Di
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