Results 51 to 60 of about 21,571 (171)
Algebra Structure of Operator-Valued Riesz Means [PDF]
Journal of Operators, 2014 We characterize operator-valued Riesz means via an algebraic law of composition and establish their functional calculus accordingly. With this aim, we give a new integral expression of the Leibniz derivation rule for smooth functions.
openaire +2 more sources
Riesz means of certain arithmetic functions
Journal of Number Theory, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William Duke, Ha Nam Nguyen
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New results for almost increasing sequences
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 In the present paper, two theorems of absolute summability have been proved by using the definition of almost increasing sequence.
Bağdagül Kartal
doaj
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
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Riesz lacunary uniform integrability and statistical convergence via power series method
Journal of Inequalities and ApplicationsIn this paper, the concepts of Riesz lacunary statistical convergence, Riesz lacunary strong convergence, and Riesz lacunary uniform integrability of real sequences within the framework of power series are introduced and studied.
Jun-Jie Quan +3 more
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Generalized quasi‐geostrophic equation in critical Lorentz–Besov spaces, based on maximal regularity
Mathematische Nachrichten, Volume 299, Issue 3, Page 637-660, March 2026.Abstract We consider the quasi‐geostrophic equation with its principal part (−Δ)α${(-\mathrm{\Delta})^{\alpha}}$ for α>1/2$\alpha >1/2$ in Rn$\mathbb {R}^n$ with n≥2$n \ge 2$. We show that for every initial data θ0∈Ḃr,q1−2α+nr$\theta _0 \in \dot{B}^{1-2\alpha + \frac{n}{r}}_{r, q}$ with 1
Hideo Kozono +2 more
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Pigment Cell &Melanoma Research, Volume 39, Issue 2, March 2026.Pigment‐associated cellular features, such as melanin levels and organelles, can be quantified in live cells with label‐free multimodal imaging. Quantitative phase imaging (cyan) measures cell mass, scattering (yellow) reports organelle content, including melanosomes, and absorbance imaging (magenta) captures pigment such as melanin.
Rebecca G. Zitnay +8 more
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Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Heilbronn's triangle problem is a classical question in discrete geometry. It asks to determine the smallest number Δ=Δ(N)$\Delta = \Delta (N)$ for which every collection in N$N$ points in the unit square spans a triangle with area at most Δ$\Delta$.
Dmitrii Zakharov
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The fractional Lipschitz caloric capacity of Cantor sets
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We characterize the s$s$‐parabolic Lipschitz caloric capacity of corner‐like s$s$‐parabolic Cantor sets in Rn+1$\mathbb {R}^{n+1}$ for 1/2
Joan Hernández
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Discrete analogues of second‐order Riesz transforms
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
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