Results 11 to 20 of about 56,401 (152)
Karpatsʹkì Matematičnì Publìkacìï, 2021 Dirichlet-Neumann problem for the typeless high order partial differential equation with deviating over the space argument is studied in the domain, which is the Cartesian product of the segment $(0,T)$ and the unit circle $\Omega=\mathbb R/(2\pi \mathbb
P.Ya. Pukach +3 more
doaj +1 more source
Besov's Type Embedding Theorem for Bilateral Grand Lebesgue Spaces [PDF]
, 2010 In this paper we obtain the non-asymptotic norm estimations of Besov's type between the norms of a functions in different Bilateral Grand Lebesgue spaces (BGLS).
Ostrovsky, E., Sirota, L.
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On grand and small Lebesgue and Sobolev spaces and some applications to PDE's [PDF]
Differential Equations & Applications, 2018 Summary: This paper is essentially a survey on grand and small Lebesgue spaces, which are rearrangement-invariant Banach function spaces of interest not only from the point of view of function spaces theory, but also from the point of view of their applications: the corresponding Sobolev spaces are of interest, for instance, in the theory of PDEs.
Fiorenza, Alberto +2 more
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Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces [PDF]
, 2019 We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable $\A_\pp$ condition, and show that it is necessary and sufficient for the bilinear maximal ...
Cruz-Uribe, David +1 more
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Fully measurable small Lebesgue spaces
Journal of Mathematical Analysis and Applications, 2017 The interval \([0,1]\) of the real line \(\mathbb R=[-\infty,\infty]\) is denoted by \(I\), the class of Lebesgue measurable functions on \(I\) is denoted by \({\mathcal M}\) and the class of essentially bounded functions on \(I\) is denoted by \(L^\infty(I)\), so that \(L^\infty(I)= \{f\in{\mathcal M}(I):\| f\|_\infty a)= 0\}\). If \(p(.)\in\mathcal{M}
Anatriello, Giuseppina +2 more
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Differentiability of Lipschitz Functions in Lebesgue Null Sets [PDF]
, 2014 We show that if n>1 then there exists a Lebesgue null set in R^n containing a point of differentiability of each Lipschitz function mapping from R^n to R^(n-1); in combination with the work of others, this completes the investigation of when the ...
Preiss, David, Speight, Gareth
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Harnack estimates for degenerate parabolic equations modeled on the subelliptic p-Laplacian [PDF]
, 2013 We establish a Harnack inequality for a class of quasi-linear PDE modeled on the prototype {equation*} \partial_tu= -\sum_{i=1}^{m}X_i^\ast (|\X u|^{p-2} X_i u){equation*} where $p\ge 2$, $ \ \X = (X_1,..., X_m)$ is a system of Lipschitz vector fields ...
Avelin, Benny +3 more
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Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces [PDF]
, 2009 We give a complete characterization of the continuity of pseudodifferential operators with symbols in modulation spaces $M^{p,q}$, acting on a given Lebesgue space $L^r$.
Cordero, Elena, Nicola, Fabio
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Bilateral Small Lebesgue Spaces
, 2009 19 ...
Ostrovsky, Eugene, Sirota, Leonid
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Maximum Lebesgue Extension of Monotone Convex Functions [PDF]
, 2014 Given a monotone convex function on the space of essentially bounded random variables with the Lebesgue property (order continuity), we consider its extension preserving the Lebesgue property to as big solid vector space of random variables as possible ...
Owari, Keita
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