On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces

2018 ◽  
Vol 45 (2) ◽  
pp. 237-247
Author(s):  
K. A. Bekmaganbetov ◽  
Y. Toleugazy
Keyword(s):  
Lorentz Spaces ◽  
Besov Class

A genuine analogue of the Wiener Tauberian theorem for some Lorentz spaces on SL(2,ℝ)

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Tapendu Rana
Keyword(s):  
Tauberian Theorem ◽  
Lorentz Spaces

AbstractIn this paper, we prove a genuine analogue of the Wiener Tauberian theorem for {L^{p,1}(G)} ({1\leq p<2}), with {G=\mathrm{SL}(2,\mathbb{R})}.

scholarly journals Lorentz spaces in action on pressureless systems arising from models of collective behavior

2021 ◽  
Author(s):  
Raphaël Danchin ◽  
Piotr Bogusław Mucha ◽  
Patrick Tolksdorf
Keyword(s):  
Initial Data ◽  
Collective Behavior ◽  
Existence And Uniqueness ◽  
Maximal Regularity ◽  
Parabolic Systems ◽  
Lorentz Spaces ◽  
Regularity Estimate ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Time Existence

AbstractWe 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. The initial data are rough: in particular, the density is only bounded. Our results are based on interpolation and parabolic maximal regularity, where Lorentz spaces play a key role. We establish a novel maximal regularity estimate for parabolic systems in $$L_{q,r}(0,T;L_p(\Omega ))$$ L q , r ( 0 , T ; L p ( Ω ) ) spaces.

Complete space-like hypersurfaces in locally symmetric Lorentz spaces

2004 ◽  
Vol 49 (2) ◽  
pp. 231-247 ◽  
Author(s):  
Jin Ok Baek ◽  
Qing-Ming Cheng ◽  
Young Jin Suh
Keyword(s):  
Lorentz Spaces ◽  
Complete Space
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