Results 11 to 20 of about 56,397 (151)
Embeddings between grand, small and variable Lebesgue spaces [PDF]
Mathematical Notes, 2017 We give conditions on the exponent function $p(\cdot)$ that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that our results are close to optimal.
Cruz-Uribe, David +2 more
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Characterization of interpolation between Grand, small or classical Lebesgue spaces [PDF]
Nonlinear Analysis, 2017 In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz-Zygmund spaces or more generally $G\Gamma$-spaces. As a direct consequence of our results any Lorentz-Zygmund space $L^{a,r}({\rm Log}\,
Fiorenza, Aberto +4 more
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Bilinear multipliers of small Lebesgue spaces
TURKISH JOURNAL OF MATHEMATICS, 2021 Let $G$ be a locally compact abelian metric group with Haar measure $\lambda $ and $\hat{G}$ its dual with Haar measure $\mu ,$ and $\lambda ( G) $ is finite.
Öznur KULAK, A.Turan GÜRKANLI
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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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A direct approach to the duality of grand and small Lebesgue spaces [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 Let \(\mathcal{M}_{0}\) be the set of all Lebesgue measurable function in the interval \((0,1)\), finite a.e.\ in it and let \(\mathcal{M}_{0}^{+}\) be the class of all nonnegative functions of \(\mathcal{M}_{0}\). For \(f \in \mathcal{M}_{0}\), the decreasing rearrangement \(f^{*}\) of \(f\) is defined by \[ f^{*} = \inf\{ \lambda > 0: |\{x \in (0,1):
G. DI FRATTA, FIORENZA, ALBERTO
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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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Characterization of Low Dimensional $RCD^*(K,N)$ spaces [PDF]
, 2016 In this paper, we give the characterization of metric measure spaces that satisfy synthetic lower Riemannian Ricci curvature bounds (so called $RCD^*(K,N)$ spaces) with \emph{non-empty} one dimensional regular sets. In particular, we prove that the class
Kitabeppu, Yu, Lakzian, Sajjad
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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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Hölder Quasicontinuity in Variable Exponent Sobolev Spaces
Journal of Inequalities and Applications, 2007 We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set.
Katja Tuhkanen +2 more
doaj +1 more source