Zobrazeno 1 - 10
of 451
pro vyhledávání: '"26a45"'
Autor:
Weigt, Julian
We investigate the question whether the $L^1(\mathbb R)$-norm of the second derivative of the uncentered Hardy-Littlewood maximal function can be bounded by a constant times the $L^1(\mathbb R)$-norm of the function itself. We give a positive answer
Externí odkaz:
http://arxiv.org/abs/2409.12631
We consider a nonlinear control system with vector-valued measures as controls and with dynamics depending on time delayed states. First, we introduce a notion of discontinuous, bounded variation solution associated with this system and establish an
Externí odkaz:
http://arxiv.org/abs/2408.17342
We study the least gradient problem in bounded regions with Lipschitz boundary in the plane. We provide a set of conditions for the existence of solutions in non-convex simply connected regions. We assume the boundary data is continuous and in the sp
Externí odkaz:
http://arxiv.org/abs/2408.13064
Autor:
Bugajewska, Daria, Kasprzak, Piotr
The main goal of this note is to characterize the necessary and sufficient conditions for a composition operator to act between spaces of mappings of bounded Wiener variation in a normed-valued setting. The necessary and sufficient conditions for loc
Externí odkaz:
http://arxiv.org/abs/2407.14169
Autor:
Barczy, Matyas, Kern, Peter
We study H\"older continuity, $p^\mathrm{th}$-variation function and Riesz variation of Weierstrass-type functions along a sequence of $b$-adic partitions, where $b>1$ is an integer. By a Weierstrass-type function, we mean that in the definition of t
Externí odkaz:
http://arxiv.org/abs/2407.09229
Let $M$ denote the centered Hardy--Littlewood operator on $\mathbb{R}$. We prove that \[ {\rm Var} (Mf)\le {\rm Var} (f) - \frac12\big| |f(\infty)|-|f(-\infty)|\big| \] for piecewise constant functions $f$ with nonzero and zero values alternating. Th
Externí odkaz:
http://arxiv.org/abs/2407.06734
Autor:
Szulga, Jerzy
``Orderly divergence'' deals with limit theorems for weighted stochastic Gamma integrals of otherwise nonintegrable functions. Although for monotonic functions this category usually coincides with the classical notion of weighted limit theorems for s
Externí odkaz:
http://arxiv.org/abs/2405.20417
Autor:
Glass, Olivier
In this paper, we consider $2 \times 2$ hyperbolic systems of conservation laws in one space dimension with characteristic fields satisfying a condition that encompasses genuine nonlinearity and linear degeneracy as well as intermediate cases, namely
Externí odkaz:
http://arxiv.org/abs/2405.02123
The Euler-Maclaurin formula which relates a discrete sum with an integral, is generalised to the setting of Riemann-Stieltjes sums and integrals on stochastic processes whose paths are a.s. rectifiable, that is continuous and bounded variation. For t
Externí odkaz:
http://arxiv.org/abs/2403.09335
Autor:
Faghihi, Usef, Saki, Amir
Let $X$ and $Z$ be random vectors, and $Y=g(X,Z)$. In this paper, on the one hand, for the case that $X$ and $Z$ are continuous, by using the ideas from the total variation and the flux of $g$, we develop a point of view in causal inference capable o
Externí odkaz:
http://arxiv.org/abs/2403.07745