Results 61 to 70 of about 1,371 (181)
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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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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Nanotherapies for Atherosclerosis: Targeting, Catalysis, and Energy Transduction
Advanced Healthcare Materials, Volume 15, Issue 20, 27 May 2026.Atherosclerosis management is hindered by poor drug targeting and plaque heterogeneity. Nanotechnology overcomes these barriers via three core strategies: (1) target‐engineered nanocarriers that achieve lesion‐specific precision via ligand modification, biomimetic camouflage, stimuli‐responsive release, and self‐propelling nanomotors; (2) catalytic ...
Yuqi Yang +4 more
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Integral mean of Green’s potentials and their conjugate
Karpatsʹkì Matematičnì Publìkacìï, 2013 The best possible estimates for Lebesgue integral means $m_q(r,F); (1le q
Vasyl'kiv, Ya. V., Kravec, M. Ya.
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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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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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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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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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Bloch and Gap Subharmonic Functions
Real Analysis Exchange, 2003 Let \({\mathbb B}_\alpha\) be the class of all positive subharmonic functions \(u\) in the open unit ball \(B_N\) of the space \({\mathbb R}^N\) such that \(G_\alpha (u) = \sup_{x\in B_N} (1-\| x\| ^2)^\alpha u(x) < +\infty.\) The analogous class \({\mathbb A}_\alpha\) of holomorphic in the disc functions \(f\) is defined by the condition \(\sup_{| z ...
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Trace of Multiplication Operator Restricted to Invariant Subspaces of some Weighted Bergman Space
Cumhuriyet Science JournalLet ω be a logarithmically subharmonic weight that is radial and reproducing for the origin, and L_a^2 (D,ωdA) be the weighted Bergman space. Let f be a bounded holomorphic function on the open unit disc, I be a z-invariant subspace of L_a^2 (D,ωdA), and
Faruk Yılmaz
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