Results 41 to 50 of about 3,240 (213)
Morrey Spaces and Related Function Spaces [PDF]
Journal of Function Spaces, 2014 1 Department ofMathematics and Information Scinence, TokyoMetropolitanUniversity, 1-1Minami-Ohsawa,Hachioji 192-0397, Japan 2Department of Mathematics, Bandung Institute of Technology, Bandung 40132, Indonesia 3 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey 4 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku ...
Yoshihiro Sawano +3 more
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Erratum to: Multipliers and Morrey Spaces [PDF]
Potential Analysis, 2014 We correct the complex interpolation result for Morrey spaces which is false for the first interpolation functor of Calderon, but is exact for Calderon's second interpolation functor.
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A Thought on Generalized Morrey Spaces [PDF]
Journal of the Indonesian Mathematical Society, 2019 Morrey spaces can complement the boundedness propertiesof operators that Lebesgue spaces can not handle.Morrey spaces which we have been handling are called classical Morrey spaces.However,classical Morrey spaces are not totally enough to describe the boundedness properties.To this end, we need to generalize parameters $p$ and $q$, among others $p$.
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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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Supersonic flows of the Euler–Poisson system with nonzero vorticities in three‐dimensional cylinders
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We prove the unique existence of three‐dimensional supersonic solutions to the steady Euler–Poisson system in cylindrical nozzles. First, we establish the unique existence of irrotational solutions in a cylindrical nozzle with an arbitrary cross‐section with using weighted Sobolev norms.
Myoungjean Bae, Hyangdong Park
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Positivity, 2019 We introduce mixed Morrey spaces and show some basic properties. These properties extend the classical ones. We investigate the boundedness in these spaces of the iterated maximal operator, the fractional integtral operator and singular integral operator.
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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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COMPARISON OF MORREY SPACES AND NIKOL’SKII SPACES
Eurasian Mathematical Journal, 2021 We consider two popular function spaces: the Morrey spaces and the Nikol'skii spaces and investigate the relationship between them in the one-dimensional case. In particular, we prove that, under the appropriate assumptions on the numerical parameters, their restrictions to the class of functions f of the form f (x) = g(|x|), where g is a non-negative ...
Burenkov V.I. +2 more
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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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Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type
Analysis and Geometry in Metric Spaces, 2020 In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Gong Ruming +3 more
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