Results 11 to 20 of about 468,918 (185)
Computable Jordan Decomposition of Linear Continuous Functionals on $C[0;1]$ [PDF]
, 2014 By the Riesz representation theorem using the Riemann-Stieltjes integral, linear continuous functionals on the set of continuous functions from the unit interval into the reals can either be characterized by functions of bounded variation from the unit ...
Jafarikhah, Tahereh, Weihrauch, Klaus
core +1 more source
Bounded variation in the mean [PDF]
Proceedings of the American Mathematical Society, 2000 It is shown that the concept of bounded variation in the mean is not a meaningful generalization of ordinary bounded variation. In fact, it is a characterization of functions which differ from functions of bounded variation on a zero set. Let f be a real-valued function in L1 on the circle group T. We define the corresponding interval function by f (I)
Daniel Waterman +2 more
openaire +1 more source
The Lipschitz truncation of functions of bounded variation [PDF]
Indiana University Mathematics Journal, 2021 We construct a Lipschitz truncation which approximates functions of bounded variation in the area-strict metric. The Lipschitz truncation changes the original function only on a small set similar to Lusin's theorem. Previous results could only give estimates on the Lebesgue measure of the set where the Lipschitz approximations differ from the original ...
Breit, Dominic +2 more
openaire +3 more sources
Asymptotics of orthogonal polynomials and point perturbation on the unit circle [PDF]
, 2010 In the first five sections, we deal with the class of probability measures with asymptotically periodic Verblunsky coefficients of p-type bounded variation.
Alfaro +30 more
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A local estimate for vectorial total variation minimization in one dimension [PDF]
, 2018 Let $\boldsymbol u$ be the minimizer of vectorial total variation ($VTV$) with $L^2$ data-fidelity term on an interval $I$. We show that the total variation of $\boldsymbol u$ over any subinterval of $I$ is bounded by that of the datum over the same ...
Giacomelli, Lorenzo, Łasica, Michał
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Regularity of the Hardy-Littlewood maximal operator on block decreasing functions
, 2009 We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Aldaz, J. M., Lazaro, J. Perez
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Dendritic cells steering antigen and leukocyte traffic in lymph nodes
FEBS Letters, EarlyView.Dendritic cells are key players in the activation of T cells and their commitment to effector function. In this In a Nutshell Review, we will discuss how dendritic cells guide the trafficking of antigen and leukocytes in the lymph node, thus influencing T‐cell activation processes. Dendritic cells (DCs) play a central role in initiating and shaping the
Enrico Dotta +3 more
wiley +1 more source
Multifunctions of Bounded Variation, Preliminary Version I [PDF]
, 2015 Consider control systems described by a differential equation with a control term or, more generally, by a differential inclusion with velocity set $F(t,x)$.
Vinter, R. B.
core
Piecewise affine approximations for functions of bounded variation
, 2015 BV functions cannot be approximated well by piecewise constant functions, but this work will show that a good approximation is still possible with (countably) piecewise affine functions.
Kristensen, Jan, Rindler, Filip
core +1 more source
FEBS Letters, EarlyView.In vivo IL‐10 produced by tissue‐resident tolDC is involved in maintaining/inducing tolerance. Depending on the agent used for ex vivo tolDC generation, cells acquire common features but prime T cells towards anergy, FOXP3+ Tregs, or Tr1 cells according to the levels of IL‐10 produced. Ex vivo‐induced tolDC were administered to patients to re‐establish/
Konstantina Morali +3 more
wiley +1 more source