Results 71 to 80 of about 1,361 (182)
On delta $m$-subharmonic functions
Annales Polonici Mathematici, 2016 Let \(\Omega\subset \mathbb C^n\) be a bounded \(m\)-hyperconvex domain, i.e, a domain for which there exists a bounded \(m\)-subharmonic exhaustion function, and assume \(1\leq m\leq n\). Let \(\mathcal E_{0,m}\) be the class of bounded \(m\)-subharmonic functions \(u\) in \(\Omega\) with zero boundary values and with bounded total \(m\)-Hessian mass \
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The universal family of punctured Riemann surfaces is Stein
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
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Movement Disorders, Volume 41, Issue 4, Page 992-1003, April 2026.Background Accurate temporal prediction, essential for adaptive motor behavior, relies on corticobasal ganglia circuits. In Parkinson's disease (PD), both motor and non‐motor functions are impaired. Deep brain stimulation (DBS) of the subthalamic nucleus (STN) effectively alleviates motor symptoms, but its effects on non‐motor domains, like temporal ...
Rebecca Burke +5 more
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Доповiдi Нацiональної академiї наук УкраїниA unified approach to the proof of the Radó and Král theorems on removability of the zero locus for analytic and harmonic functions is proposed.
A.V. Pokrovskii
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A Symmetrical Property of the Spectral Trace in Banach Algebras
Extracta Mathematicae, 2017 Our aim in this paper is to extend a symmetrical property of the trace by M. Kennedy and H. Radjavi for bounded operators on a Banach space to the more general situation of Banach algebras. The main ingredients are Vesentini’s result on subharmonicity of
Abdelaziz Maouche
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Integrability of superharmonic functions and subharmonic functions [PDF]
Proceedings of the American Mathematical Society, 1994 We apply the coarea formula to obtain integrability of superharmonic functions and nonintegrability of subharmonic functions. The results involve the Green function. For a certain domain, say Lipschitz domain, we estimate the Green function and restate the results in terms of the distance from the boundary.
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Hessian measures in the class of m-convex (m - cv) functions
Қарағанды университетінің хабаршысы. Математика сериясыThe theory of m-convex (m − cv) functions is a new direction in the real geometry. In this work, by using the connection m − cv functions with strongly m-subharmonic (shm) functions and using well-known and rich properties of shm functions, we show a ...
M.B. Ismoilov, R.A. Sharipov
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Subharmonic functions in certain regions [PDF]
Transactions of the American Mathematical Society, 1972 In a recent paper Hellsten, Kjellberg, and Norstad considered bounded subharmonic functions u in |
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New Journal of PhysicsWe simulate the motion of paramagnetic particles between two magnetic patterns with hexagonal symmetry that are twisted at a magic angle. The resulting Morié pattern develops flat channels in the magnetic potential along which colloidal particles can be ...
Nex C X Stuhlmüller +2 more
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