Results 31 to 40 of about 14,054 (185)
Hypersurfaces with Generalized 1-Type Gauss Maps
In this paper, we study submanifolds in a Euclidean space with a generalized 1-type Gauss map. The Gauss map, G, of a submanifold in the n-dimensional Euclidean space, En, is said to be of generalized 1-type if, for the Laplace operator, Δ, on the ...
Dae Won Yoon +3 more
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FAILURE OF THE $L^{1}$ POINTWISE AND MAXIMAL ERGODIC THEOREMS FOR THE FREE GROUP
Let $F_{2}$ denote the free group on two generators $a$ and $b$. For any measure-preserving system $(X,{\mathcal{X}},{\it\mu},(T_{g})_{g\in F_{2}})$ on a finite measure space $X=(X,{\mathcal{X}},{\it\mu})$, any $f\in L^{1}(X)$, and any $n\geqslant 1 ...
TERENCE TAO
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A pointwise ergodic theorem for Fuchsian groups [PDF]
We use Series' Markovian coding for words in Fuchsian groups and the Bowen-Series coding of limit sets to prove an ergodic theorem for Cesaro averages of spherical averages in a Fuchsian ...
Bufetov, Alexander I. +3 more
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Fundamental Results for Pseudo-Differential Operators of Type 1, 1
This paper develops some deeper consequences of an extended definition, proposed previously by the author, of pseudo-differential operators that are of type 1 , 1 in Hörmander’s sense. Thus, it contributes to the long-standing problem of creating
Jon Johnsen
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Optimal Control Problems without Terminal Constraints: The Turnpike Property with Interior Decay
We show a turnpike result for problems of optimal control with possibly nonlinear systems as well as pointwise-in-time state and control constraints. The objective functional is of integral type and contains a tracking term which penalizes the distance ...
Gugat Martin, Lazar Martin
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Classifications of Tubular Surface with L-1-Pointwise 1-Type Gauss Map in Galilean 3-space G(3) [PDF]
In this manuscript, we handle a tubular surface whose Gauss map G satisfies the equality L(1)G = f(G + C) for the Cheng-Yau operator L-1 in Galilean 3-space G(3). We give an example of a tubular surface having L-1-harmonic Gauss map.
Ozturk, Gunay, KİŞİ, İLİM
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SHAPE OPERATOR AND GAUSS MAP OF POINTWISE 1-TYPE
Abstract. We examine the relationship of the shape operator of a sur-face of Euclidean 3-space with its Gauss map of pointwise 1-type. Sur-faces with constant mean curvature and right circular cones with respectto some properties of the shape operator are characterized when theirGauss map is of pointwise 1-type. 1.
DONG-SOO KIM, YOUNG HO KIM
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Hardy-Littlewood type inequalities for Laguerre series
Let {cj} be a null sequence of bounded variation. We give appreciate smoothness and growth conditions on {cj} to obtain the pointwise convergence as well as Lr-convergence of Laguerre series ∑cj𝔏ja. Then, we prove a Hardy-Littlewood type inequality ∫0∞|f(
Chin-Cheng Lin, Shu-Huey Lin
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Surfaces with pointwise 1-type canonical vector field [PDF]
Bir ⊂ ℝ+ altmanifoldunun Gauss dönüşümü üzerinde sıfırdan farklı türevlenebilir bir fonksiyonu ve sabit bir vektörü için Δ=(+) eşitliğini sağlıyorsa altmanifoldu noktasal 1-tipine Gauss dönüşümüne sahip olduğu söylenir.
Demirbaş, Eray
core
On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika +2 more
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