Results 31 to 40 of about 34,452,769 (227)

Some results in harmonic analysis related to pointwise convergence and maximal operators [PDF]

open access: yes, 2012
Pointwise convergence problems are of fundamental importance in harmonic analysis and studying the boundedness of associated maximal operators is the natural viewpoint from which to consider them.
Bailey, Andrew David
core   +7 more sources

FAILURE OF THE $L^{1}$ POINTWISE AND MAXIMAL ERGODIC THEOREMS FOR THE FREE GROUP

open access: yesForum of Mathematics, Sigma, 2015
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
doaj   +1 more source

Fundamental Results for Pseudo-Differential Operators of Type 1, 1

open access: yesAxioms, 2016
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
doaj   +1 more source

A pointwise ergodic theorem for Fuchsian groups [PDF]

open access: yes, 2010
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
core   +1 more source

SHAPE OPERATOR AND GAUSS MAP OF POINTWISE 1-TYPE

open access: yesJournal of the Korean Mathematical Society, 2015
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
openaire   +1 more source

Hardy-Littlewood type inequalities for Laguerre series

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
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
doaj   +1 more source

Optimal Control Problems without Terminal Constraints: The Turnpike Property with Interior Decay

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2023
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
doaj   +1 more source

Pointwise universal consistency of nonparametric linear estimators [PDF]

open access: yes, 2004
This paper presents sufficient conditions for pointwise universal consistency of nonparametric delta estimators.
Vidal-Sanz, Jose M.
core   +1 more source

On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2020
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
doaj   +1 more source

The effectiveness of additional medical management of patients in the early stages after reconstructive interventions on the auxiliary apparatus of the eye: assessment of changes in the tissues of the ocular surface and eyelids

open access: yesРоссийский офтальмологический журнал, 2022
Purpose: to evaluate the effectiveness and safety of combination therapy using the moisturizing ophthalmic solution, Hyloparin-Comod®, and the lubricating ophthalmic agent Parin-Pos® in complex medical management in the early stages after reconstructive ...
I. A. Filatova   +2 more
doaj   +1 more source

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