Results 81 to 90 of about 2,217 (207)
On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in Cn
International Journal of Mathematics and Mathematical Sciences, 1985 A generalization of the classical Montessus de Ballore theorem in ℂn and some related theorems are discussed. Non-Montessus type of convergence in ℝ2n dimensional Lebesgue measure is presented linking it to a result of Gonĉar.
C. H. Lutterodt
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Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13361-13381, August 2026.ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis +1 more
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Boundedness of Bessel–Riesz Operator in Variable Lebesgue Measure Spaces
MathematicsIn this manuscript, we establish the boundedness of the Bessel–Riesz operator Iα,γf in variable Lebesgue spaces Lp(·). We prove that Iα,γf is bounded from Lp(·) to Lp(·) and from Lp(·) to Lq(·).
Muhammad Nasir +3 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13324-13360, August 2026.ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
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Seeking a constructive proof of a theorem of Khrushchev
Concrete OperatorsWe discuss a classical theorem of Khrushchev, which establishes that any set of positive Lebesgue measure on the circle supports a function with a continuous Cauchy transform.
Malman Bartosz
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Lipschitz estimates for the Berezin transform
Journal of Function Spaces and Applications, 2010 We consider the generalized Fock space A2(μm), where μm is the measure with weight e−|z|m, m > 0, with respect to the Lebesgue measure on Cn. Improving upon a recent result of L. Coburn and J.
Hélène Bommier-Hato
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
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Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika, 2012 We study the compactness property of the weak convergence in variable Sobolev spaces of the following sequences $\left\{ (A_n,u_n) \in L^1(\Omega; {\mathbb{R}}^{N\times N}) \times W_{A_n}(\Omega; {\Gamma}_D) \right\}$, where the squared symmetric ...
P.I. Kogut, T.N. Rudyanova
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Conditional Generative Modeling for Enhanced Credit Risk Management in Supply Chain Finance
Naval Research Logistics (NRL), Volume 73, Issue 5, Page 719-742, August 2026.ABSTRACT The rapid expansion of cross‐border e‐commerce (CBEC) has created significant opportunities for small‐ and medium‐sized sellers, yet financing remains a critical challenge due to their limited credit histories. Third‐party logistics (3PL)‐led supply chain finance (SCF) has emerged as a promising solution, leveraging in‐transit inventory as ...
Qingkai Zhang, L. Jeff Hong, Houmin Yan
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Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies
International Economic Review, Volume 67, Issue 3, Page 957-976, August 2026.ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi +2 more
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