scholarly journals Democracy functions of wavelet bases in general Lorentz spaces

2011 ◽  
Vol 163 (10) ◽  
pp. 1509-1521 ◽  
Author(s):  
Gustavo Garrigós ◽  
Eugenio Hernández ◽  
Maria de Natividade
Keyword(s):  
Lorentz Spaces ◽  
Wavelet Bases ◽  
Democracy Functions

Quantifying Democracy of Wavelet Bases in Lorentz Spaces

2010 ◽  
Vol 33 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Eugenio Hernández ◽  
José María Martell ◽  
Maria de Natividade
Keyword(s):  
Lorentz Spaces ◽  
Wavelet Bases

Wavelet Bases in Lorentz and Zygmund Spaces

2008 ◽  
Vol 15 (2) ◽  
pp. 389-402
Author(s):  
Hans Triebel
Keyword(s):  
Lorentz Spaces ◽  
Arbitrary Domain ◽  
Wavelet Bases ◽  
Zygmund Spaces

Abstract The paper deals with unconditional intrinsic wavelet bases in Lorentz spaces 𝐿𝑝,𝑞(Ω) and Zygmund spaces 𝐿𝑝(log 𝐿)𝑎(Ω) where Ω is an arbitrary domain in (with |Ω| < ∞ in the case of Zygmund spaces).

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.

A new family of orthonormal wavelet bases

1998 ◽  
Vol 72 (5) ◽  
pp. 294-303 ◽  
Author(s):  
L. T. Liu ◽  
H. T. Hsu ◽  
B. X. Gao
Keyword(s):  
Orthonormal Wavelet ◽  
Wavelet Bases ◽  
New Family

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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