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On Subordination of Convolution Semigroups

International Journal of Bifurcation and Chaos, 2003
Let μ := (μt)t > 0 be a convolution semigroup on ℝd endowed with its Lebesgue measure λ. Let ℳ(μ) be the set of all positive Borel measures ω on ℝd for which μt * ω ≪ λ, for each t > 0. Let EX(μ) be the set of all exit laws of μ, i.e.the set of Borel functions φ :]0, ∞[× ℝd ↦ [0, ∞] which verifies the functional equation (by putting φt := φ(t, .)
Sonia Ben Othman   +2 more
openaire   +2 more sources

On subordination and majorization

1985
Let L be the class of functions f analytic and locally univalent in the unit disc U, normalized by \(f(0)=f'(0)-1=0\). The authors consider the functions \[ g_{\alpha}(z,t)=(1+t)^{2(1-\alpha)}/4^{1-\alpha}\quad f(tz),\quad t\in (-1,1]\setminus \{0\} \] \[ g_{\alpha}(z,t)=z/4^{1- \alpha},\quad t=0 \] and prove a) If \(f\in L\) then \(g_ 0(z,t)\) is a ...
Eenigenburg, P. J., Waniurski, Józef
openaire   +1 more source

Subordination

2023
AbstractThis chapter presents an overview of the various subordination strategies employed in Australian languages. Australian-style subordination is known for its remarkable uniformity in two respects: (i) the use of a single subordinate clause type for both relative and adverbial functions, (ii) the strong preference for dependent clauses to appear ...
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Some Results of New Subclasses for Bi-Univalent Functions Using Quasi-Subordination

Symmetry, 2021
Alb Lupas Daciana Alina   +2 more
exaly  

Fuzzy Differential Subordination of the Atangana–Baleanu Fractional Integral

Symmetry, 2021
Adriana Cătaş   +2 more
exaly  

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