Results 41 to 50 of about 82,244 (222)
Identification of Fully Measurable Grand Lebesgue Spaces
Journal of Function Spaces, 2017 We consider the Banach function spaces, called fully measurable grand Lebesgue spaces, associated with the function norm ρ(f)=ess supx∈Xδ(x)ρp(x)(f), where ρp(x) denotes the norm of the Lebesgue space of exponent p(x), and p(·) and δ(·) are measurable ...
Giuseppina Anatriello +2 more
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Decomposition of Lebesgue Spaces
Advances in Mathematics, 1998 The author proves existence and uniqueness of a canonical system of measures for a strictly separable \(\sigma\)-subalgebra of a Lebesgue space. Moreover, the product structure of the factor space for the smallest \(\sigma\)-subalgebra generated by strictly separable \(\sigma\)-subalgebras of a Lebesgue space being stochastically independent is studied.
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Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
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Universal Journal of Mathematics and Applications, 2019 For the last quarter century a considerable number of research has been carried out on the study of Herz spaces, variable exponent Lebesgue spaces and Sobolev spaces.
Lütfi Akın
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Journal of Inequalities and Applications, 2023 A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p ( ⋅ ) $L^{p(\cdot )}$ on an unbounded domain R + $\mathbb{R}^{+}$ and its properties are examined.
Mohamed M. A. Metwali
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Weighted and endpoint estimates for commutators of bilinear pseudo-differential operators
AIMS Mathematics, 2022 In this paper, by applying the accurate estimates of the Hörmander class, the authors consider the commutators of bilinear pseudo-differential operators and the operation of multiplication by a Lipschitz function.
Yanqi Yang, Shuangping Tao, Guanghui Lu
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Quantum measure and integration theory
, 2009 This article begins with a review of quantum measure spaces. Quantum forms and indefinite inner-product spaces are then discussed. The main part of the paper introduces a quantum integral and derives some of its properties.
Gudder S. +4 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
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The Daugavet property in the Musielak-Orlicz spaces
, 2014 We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
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Cauchy Problems in Weighted Lebesgue Spaces [PDF]
Czechoslovak Mathematical Journal, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cholewa, Jan W., Dlotko, Tomasz
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