Results 11 to 20 of about 1,697 (123)
Mathematical Inequalities & Applications, 2020 We study the local Morrey spaces with variable exponents. We show that the local block space with variable exponents are pre-duals of the local Morrey spaces with variable exponents. Using this duality, we establish the extrapolation theory for the local
T. Yee, K. Cheung, K. Ho, Chun Kit Suen
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Hardy’s inequalities and integral operators on Herz-Morrey spaces
Open Mathematics, 2020 We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces.
Yee Tat-Leung, Ho Kwok-Pun
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Sobolev's theorem for double phase functionals
, 2020 Our aim in this paper is to establish generalizations of Sobolev’s theorem for double phase functionals Φ(x,t) = t p + {b(x)t(log(e+ t))τ} , where 1 < p q < ∞ , τ > 0 and b is a nonnegative bounded function satisfying |b(x)− b(y)| C|x− y|θ (log(e+ |x− y|−
Y. Mizuta, T. Ohno, T. Shimomura
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Parabolic inequalities in Orlicz spaces with data in L1
Open Mathematics, 2021 In this paper, we provide existence and uniqueness of entropy solutions to a general nonlinear parabolic problem on a general convex set with merely integrable data and in the setting of Orlicz spaces.
Alaoui Mohammed Kbiri
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Linear functions and duality on the infinite polytorus [PDF]
, 2019 We consider the following question: Are there exponents ...
Brevig, Ole Fredrik
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Hardy's inequalities for monotone functions on partially ordered measure spaces [PDF]
, 2005 We characterize the weighted Hardy's inequalities for monotone functions in ${\mathbb R^n_+}.$ In dimension $n=1$, this recovers the classical theory of $B_p$ weights. For $n>1$, the result was only known for the case $p=1$.
Arcozzi, Nicola +3 more
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A double-phase eigenvalue problem with large exponents
Open Mathematics, 2023 In the present article, we consider a double-phase eigenvalue problem with large exponents. Let λ(pn,qn)1{\lambda }_{\left({p}_{n},{q}_{n})}^{1} be the first eigenvalues and un{u}_{n} be the first eigenfunctions, normalized by ‖un‖ℋn=1\Vert {u}_{n}{\Vert
Yu Lujuan
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Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space
Advanced Nonlinear Studies, 2022 The concentration-compactness principle of Lions type in Euclidean space relies on the Pólya-Szegö inequality, which is not available in non-Euclidean settings.
Li Dongliang, Zhu Maochun
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Density of Analytic Polynomials in Abstract Hardy Spaces [PDF]
, 2017 Let $X$ be a separable Banach function space on the unit circle $\mathbb{T}$ and $H[X]$ be the abstract Hardy space built upon $X$. We show that the set of analytic polynomials is dense in $H[X]$ if the Hardy-Littlewood maximal operator is bounded on the
Karlovich, Alexei Yu.
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, 2020 The purpose of this paper is to give a necessary and sufficient condition for an Orlicz space LΦ(G) to be a convolution Banach algebra, where G is a compactly generated locally compact abelian group and Φ is a Young function satisfying Δ2 -condition and ...
S. Tabatabaie, A. B. Salec, M. Sanjari
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