Zobrazeno 1 - 10
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pro vyhledávání: '"Persson, Lars"'
In this paper we introduce some new weighted maximal operators of the partial sums of the Walsh-Fourier series. We prove that for some "optimal" weights these new operators indeed are bounded from the martingale Hardy space $H_{p}$ to the Lebesgue sp
Externí odkaz:
http://arxiv.org/abs/2308.00794
We investigate the subsequence $\{t_{2^n}f \}$ of N\"{o}rlund means with respect to the Walsh system generated by non-increasing and convex sequences. In particular, we prove that a big class of such summability methods are not bounded from the marti
Externí odkaz:
http://arxiv.org/abs/2303.01846
In this paper we derive the maximal subspace of natural numbers $\left\{n_{k}:k\geq 0\right\}$, such that the restricted maximal operator, defined by $\sup_{k\in \mathbb{N}}\left\vert \sigma_{n_{k}}F \right\vert$ on this subspace of Fej\'er means of
Externí odkaz:
http://arxiv.org/abs/2302.12997
In this paper we derive the restricted weighted maximal operator, defined by ${\sup }_{k\in \mathbb{N}}\left(\left\vert \sigma _{k}F\right\vert/A^2_k\right)$ of Fej\'er means of Walsh-Fourier series and prove that the it is bounded from the martingal
Externí odkaz:
http://arxiv.org/abs/2302.12302
The current status concerning Hardy-type inequalities with sharp constants is presented and described in a unified convexity way. In particular, it is then natural to replace the Lebesgue measure $dx$ with the Haar measure $dx/x.$ There are also deri
Externí odkaz:
http://arxiv.org/abs/2302.12298
In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we consider non-homogenous heat and wave equations for Rubin's difference operator. Well-posedness results are obtained in appropriate Sobolev
Externí odkaz:
http://arxiv.org/abs/2301.07381
Autor:
Hawkesworth, Sophie, Wagatsuma, Yukiko, Kahn, Ashraf I., Hawlader, Mohammad D. H., Fulford, Anthony J. C., Arifeen, Shams-El, Persson, Lars-Åke, Moores, Sophie E.
Observational evidence suggests nutritional exposures during in utero development may have long-lasting consequences for health; data from interventions are scarce. Here, we present a trial follow-up study to assess the association between prenatal f
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-200672
Autor:
Myléus, Anna, Hernell, Olle, Gothefors, Leif, Hammarström, Marie-Louise, Persson, Lars-Åke, Stenlund, Hans, Ivarsson, Anneli
BACKGROUND: Celiac disease is defined as a 'chronic small intestinal immune-mediated enteropathy precipitated by exposure to dietary gluten in genetically predisposed individuals'. Sweden has experienced an "epidemic" of celiac disease in children be
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-64524