Results 61 to 70 of about 4,581,583 (267)
AIMS Mathematics, 2021 In this paper, we introduce weighted Morrey-Herz spaces $ M\dot K^{\alpha, \lambda}_{q, p(\cdot)}(w~^{p(\cdot)}) $ with variable exponent $ p(\cdot) $. Then we prove the boundedness of multilinear Calderón-Zygmund singular operators on weighted Lebesgue ...
Yueping Zhu, Yan Tang, Lixin Jiang
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Proceedings of the American Mathematical Society, 2013 For any function f f belonging to Q p , λ Q^{p,\lambda } , a certain proper subspace of the classical Morrey space L p , λ L^{p, \lambda } , a sharp capacity weak-type estimate is obtained for its Riesz
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Annales Academiae Scientiarum Fennicae Mathematica, 2020 We discuss the boundedness of linear and sublinear operators in two types of weighted local Morrey spaces. One is defined by Natasha Samko in 2008. The other is defined by Yasuo Komori-Furuya and Satoru Shirai in 2009. We characterize the class of weights for which the Hardy-Littlewood maximal operator is bounded.
Nakamura S., Sawano Y., Tanaka H.
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New pre-dual space of Morrey space [PDF]
Journal of Mathematical Analysis and Applications, 2013 In this paper we give new characterization of the classical Morrey space. Complementary global Morrey-type spaces are introduced. It is proved that for particular values of parameters these spaces give new pre-dual space of the classical Morrey space. We also show that our new pre-dual space of the Morrey space coincides with known pre-dual spaces.
Gogatishvili, Amiran +2 more
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Regularity and separation for Grušin‐type p‐Laplace operators
Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
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Advances in Nonlinear Analysis, 2021 This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
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On the continuity of solutions to anisotropic elliptic operators in the limiting case
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1548-1567, May 2025.Abstract We show that local weak solutions to anisotropic elliptic equations with bounded and measurable coefficients, whose prototype is −∑i=1N∂i(|∂iu|pi−2∂iu)=0,with1
Simone Ciani +2 more
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Journal of Function Spaces, 2016 We first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases. Then, we discuss the strong-type and weak-type estimates for a class of Calderón–Zygmund type operators Tθ in these new Morrey ...
Hua Wang
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Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We revisit the partial C1,α$\mathrm{C}^{1,\alpha }$ regularity theory for minimizers of non‐parametric integrals with emphasis on sharp dependence of the Hölder exponent α$\alpha$ on structural assumptions for general zero‐order terms. A particular case of our conclusions carries over to the parametric setting of Massari's regularity theorem ...
Thomas Schmidt, Jule Helena Schütt
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Proper inclusions of Morrey spaces
Glasnik Matematicki, 2018 8 ...
Mochammad Idris +2 more
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