Anisotropic Hardy-Lorentz spaces with variable exponents [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2017 In this paper we introduce Hardy-Lorentz spaces with variable exponents associated to dilation in ${\Bbb R}^n$. We establish maximal characterizations and atomic decompositions for our variable exponent anisotropic Hardy-Lorentz ...
Almeida, V. +2 more
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Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces [PDF]
Journal of Inequalities and Applications, 2018 We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.
Charu Sharma +3 more
doaj +2 more sources
Real interpolation for mixed Lorentz spaces and~Minkowski's inequality [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2023 We prove embeddings and identities for real interpolation spaces between mixed Lorentz spaces. This partly relies on Minkowski's (reverse) integral inequality in Lorentz spaces $L^{p,r}(X)$ under optimal assumptions on the exponents $(p,r)\in (0,\infty ...
Rainer Mandel
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Sobolev-Lorentz spaces with an application to the inhomogeneous biharmonic NLS equation [PDF]
Discrete and Continuous Dynamical Systems - B, 2022 We consider the Cauchy problem for the inhomogeneous biharmonic nonlinear Schr\"{o}dinger (IBNLS) equation \[iu_{t} +\Delta^{2} u=\lambda |x|^{-b}|u|^{\sigma}u,\;u(0)=u_{0} \in H^{s} (\mathbb R^{d}),\] where $\lambda\in \mathbb R$, $d\in \mathbb N$, $0 ...
J. An, PyongJo Ryu, Jinmyong Kim
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Lorentz spaces in action on pressureless systems arising from models of collective behavior [PDF]
Journal of evolution equations (Printed ed.), 2020 We are concerned with global-in-time existence and uniqueness results for models of pressureless gases that come up in the description of phenomena in astrophysics or collective behavior.
R. Danchin +2 more
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New Regularity Criteria Based on Pressure or Gradient of Velocity in Lorentz Spaces for the 3D Navier–Stokes Equations [PDF]
Journal of Mathematical Fluid Mechanics, 2019 In this paper, we derive regular criteria via pressure or gradient of velocity in Lorentz spaces to the 3D Navier–Stokes equations. It is shown that a Leray–Hopf weak solution is regular on (0, T ] provided that either the norm $$\Vert \Pi \Vert _{L^{p,\
Xiang Ji, Yanqing Wang, Wei Wei
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Some Notes of Homogeneous Besov–Lorentz Spaces
Journal of Mathematics, 2023 In this paper, we consider some properties of homogeneous Besov–Lorentz spaces. First, we get some relationship between B˙p0s,q,B˙p1s,qθ,r and Besov–Lorentz spaces, and then, we obtain the scaling property of B˙p,rs,q and F˙p,rs,q.
Zhenzhen Lou
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Nikol’skii–Type Inequalities for Trigonometric Polynomials for Lorentz–Zygmund Spaces
Journal of Function Spaces, 2020 Nikol’skii–type inequalities, that is inequalities between different metrics of trigonometric polynomials on the torus Td for the Lorentz–Zygmund spaces, are obtained. The results of previous paper “Nikol’skii inequalities for Lorentz–Zygmund spaces” are
Leo R. Ya. Doktorski
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Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma [PDF]
Rendiconti Lincei - Matematica e Applicazioni, 2018 We prove a family of Sobolev inequalities of the form $$ \Vert u \Vert_{L^{\frac{n}{n-1}, 1} (\mathbb{R}^n,V)} \le \Vert A (D) u \Vert_{L^1 (\mathbb{R}^n,E)} $$ where $A (D) : C^\infty_c (\mathbb{R}^n, V) \to C^\infty_c (\mathbb{R}^n, E)$ is a vector ...
Daniel Spector, Jean Van Schaftingen
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Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces
Physics Letters B, 2022 The relativistic Lorentz-covariant quantum space-times obtained by Snyder can be described by the coset generators of (anti) de-Sitter algebras. Similarly, the Lorentz-covariant quantum phase spaces introduced by Yang, which contain additionally quantum ...
Jerzy Lukierski, Mariusz Woronowicz
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