Results 51 to 60 of about 755,891 (241)
On an extension of a global implicit function theorem
Comptes Rendus. Mathématique, 2022 We study the existence of global implicit functions for equations defined on open subsets of Banach spaces. The partial derivative with respect to the second variable is only required to have a left inverse instead of being invertible. Generalizing known
Berger, Thomas, Haller, Frédéric
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Thin-very tall compact scattered spaces which are hereditarily separable
, 2010 We strengthen the property $\Delta$ of a function $f:[\omega_2]^2\rightarrow [\omega_2]^{\leq \omega}$ considered by Baumgartner and Shelah. This allows us to consider new types of amalgamations in the forcing used by Rabus, Juh\'asz and Soukup to ...
Brech, Christina, Koszmider, Piotr
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Indagationes Mathematicae, 2002 Suppose \((\Omega, {\mathcal A}, \mu)\) is a \(\sigma\)-finite measure space and \(L^\infty (\Omega , \mu)\) the classical \(M\)-space of \(\mu\)-essentially bounded real \(\mu\)-measurable functions. This paper presents the author's detailed analysis of the so-called Banach function \(M\)-spaces. A special case is the \(L^\infty\)-modules of \(\mathbb
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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RACSAM, 2020 We characterize the relatively compact subsets of the order continuous part $$E_a$$ of a quasi-Banach function space E showing that the strong connection between compactness, uniform absolute continuity, uniform integrability, almost order boundedness
R. Campo +3 more
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Directed Banach Spaces of Affine Functions [PDF]
Transactions of the American Mathematical Society, 1969 0. Introduction. Let X be a compact convex set and let F be a closed face of X. In this paper we develop a technique which yields sufficient conditions for F to be a peak-face of X (a subset of X where a continuous affine function on X attains its maximum). The theory is based on a duality between certain types of ordered Banach spaces. This duality is
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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Boundedness of fractional integrals on weighted Herz spaces with variable exponent
Journal of Inequalities and Applications, 2016 Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
Mitsuo Izuki, Takahiro Noi
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Optimal domain of $q$-concave operators and vector measure representation of $q$-concave Banach lattices [PDF]
, 2015 Given a Banach space valued $q$-concave linear operator $T$ defined on a $\sigma$-order continuous quasi-Banach function space, we provide a description of the optimal domain of $T$ preserving $q$-concavity, that is, the largest $\sigma$-order continuous
Delgado, O., Perez, E. A. Sanchez
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New formulas for decreasing rearrangements and a class of Orlicz-Lorentz spaces
, 2013 Using a nonlinear version of the well known Hardy-Littlewood inequalities, we derive new formulas for decreasing rearrangements of functions and sequences in the context of convex functions.
Kamińska, Anna, Raynaud, Yves
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