Results 21 to 30 of about 135 (122)
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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Strongly quasilinear parabolic systems
, 2023 Using the theory of Young measures, we prove the existence of solutions to a strongly quasilinear parabolic system Mathematics Subject Classification (2010): 35K55, 35D30, 46E30 Received 29 April 2020; Accepted 29 June ...
AZROUL, Elhoussine +3 more
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On essential norms of singular integral operators with constant coefficients and of the backward shift [PDF]
, 2022 Received by the editors November 5, 2021. 2020 Mathematics Subject Classification. Primary 45E05, 46E30, 47B38. Key words and phrases. Rearrangement-invariant Banach function space, abstract Hardy singular integral operator, backward shift operator, norm,
Karlovych, Oleksiy +1 more
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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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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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On the approximation by trigonometric polynomials in weighted Lorentz spaces
Journal of Function Spaces, Volume 8, Issue 1, Page 67-86, 2010., 2010 We obtain estimates of structural characteristics of 2π‐periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation, but also on the metric of the spaces.
Vakhtang Kokilashvili +2 more
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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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A Korovkin theorem in multivariate modular function spaces
Journal of Function Spaces, Volume 7, Issue 2, Page 105-120, 2009., 2009 In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.
Carlo Bardaro +2 more
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Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group
Open Mathematics, 2020 In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.
Ajaib Amna, Hussain Amjad
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Triangular ideal relative convergence on modular spaces and Korovkin theorems
, 2023 In this paper, we introduce the concept of triangular ideal relative convergence for double sequences of functions defined on a modular space. Based upon this new convergence method, we prove Korovkin theorems. Then, we construct an example such that our
ÇINAR, Selin, YILDIZ, Sevda
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