Results 111 to 120 of about 2,931,499 (197)
New discretised polynomial expander and incidence estimates
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We present two applications of recent developments in incidence geometry. One is a δ$\delta$‐discretised version of a particular ‘Elekes–Rónyai’ expander problem. The second is an incidence estimate addressing the scenario in which both tubes, squares and their shadings satisfy non‐concentration assumptions.
Ciprian Demeter, William O'Regan
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Hausdorff measures, capacities and compact composition operators
, 2006 It is shown that there exist analytic self-maps phi of the unit disc D inducing compact composition operators on the Hardy space H-p, 1
González, María J. +1 more
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Nonrationality Degree of Toric Quasifolds
MathematicsToric quasifolds are nonrational generalizations of toric manifolds and orbifolds. We introduce the notion of nonrationality degree, an invariant that measures the extent to which a toric quasifold fails to be Hausdorff.
Fiammetta Battaglia, Elisa Prato
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Mathematika, Volume 72, Issue 4, October 2026.Abstract We say that a plane set A$A$ is graph‐null, if there is a function g:[0,1]→R$g\colon [0,1]\rightarrow {\mathbb {R}}$ such that λ2(A+graphg)=0$\lambda _2 (A+{\rm graph}\, g)=0$. A plane set A$A$ has the translational Kakeya property if, for every translated copy A′$A^{\prime }$ of A$A$ and for every ε>0$\varepsilon >0$, there is a finite ...
M. Laczkovich, A. Máthé
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How to extend Carath\'eodory's theorem to lattice-valued functionals
Results in Nonlinear Analysis, 2020 Substituting in the definition of outer measure the addition with the maximum (or the supremum, or the join) operation we obtain a new set function called retuo measure. It is proved that every retuo measure is an outer measure.
Nutefe Kwami Agbeko
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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Besov capacity and Hausdorff measures in metric measure spaces
, 2021 This paper studies Besov ρ-capacities as well as their relationship to Hausdorff measures in Ahlfors regular metric spaces of dimension Q for 1 < Q < p < ∞.
Costea, Şerban
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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International Forum of Allergy &Rhinology, Volume 16, Issue 10, Page 1210-1213, October 2026.
Graham J. Harris +6 more
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On the theory of Hausdorff measures in metric spaces
, 1995 In this work the main objective is to extend the theory of Hausdorff measures in general metric spaces. Throughout the thesis Hausdorff measures are defined using premeasures.
Howroyd, John David
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