Convolution-type operators in grand Lorentz spaces
Sign Up to like & getrecommendations! Published in 2025 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-025-01049-7
Abstract: We introduce and study a novel grand Lorentz space—that we believe is appropriate for critical cases—that lies “between” the Lorentz–Karamata space and the recently defined grand Lorentz space from Ahmed et al. (Mediterr J Math… read more here.
Keywords: grand lorentz; lorentz spaces; convolution type; space ... See more keywords
Factorization in Lorentz spaces, with an application to centralizers
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DOI: 10.1016/j.jmaa.2016.09.038
Abstract: Abstract We give an explicit formula to factorize functions in the Lorentz spaces L ( p , q ) . Some applications to centralizers, twisted sums and interpolation theory are included. read more here.
Keywords: application centralizers; spaces application; factorization lorentz; lorentz spaces ... See more keywords
Factorization of (q,p)-summing polynomials through Lorentz spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.12.005
Abstract: Abstract We present a vector valued duality between factorable ( q , p ) -summing polynomials and ( q , p ) -summing linear operators on symmetric tensor products of Banach spaces. Several applications are… read more here.
Keywords: polynomials lorentz; summing polynomials; lorentz spaces; factorization summing ... See more keywords
Navier–Stokes equations with external forces in Lorentz spaces and its application to the self-similar solutions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.10.048
Abstract: Abstract We show existence theorem of global mild solutions with small initial data and external forces in Lorentz spaces with scaling invariant norms. If the initial data have more regularity in another scaling invariant class,… read more here.
Keywords: external forces; self similar; lorentz spaces; similar solutions ... See more keywords
Interchange between Hardy–Lorentz spaces of predictable martingales
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.11.076
Abstract: Abstract By means of the technique of Burkholder's martingale transforms, the interchanging relations between “predictable” martingale Hardy–Lorentz spaces are characterized. More precisely, let 0 p 1 p 2 ∞ and 0 q 1 ≤ q… read more here.
Keywords: predictable martingales; lorentz spaces; interchange hardy; spaces predictable ... See more keywords
Cauchy integral commutators and Hardy factorization on Lorentz spaces
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.124926
Abstract: Abstract In this paper, we prove Lorentz boundedness and compactness characterization of Cauchy integral commutators. Furthermore, we also prove Hardy factorization theorems in Lorentz spaces. read more here.
Keywords: cauchy integral; integral commutators; hardy factorization; lorentz spaces ... See more keywords
Well-posedness and stability for Boussinesq systems in weak-Lorentz spaces with Muckenhoupt weights
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DOI: 10.1080/14689367.2024.2441271
Abstract: We investigate the existence and stability of mild solutions of Boussinesq system in the weak-Lorentz spaces with Muckenhoupt weight in the framework of half-spaces. Our strategy starts with the corresponding linear system, for which we… read more here.
Keywords: spaces muckenhoupt; stability; lorentz spaces; mild solutions ... See more keywords
Morrey-Lorentz estimates for Hodge-type systems
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DOI: 10.3934/dcds.2024095
Abstract: We prove up to the boundary regularity estimates in Morrey-Lorentz spaces for weak solutions of the linear system of differential forms with regular anisotropic coefficients \begin{equation*} d^{\ast} \left( A d\omega \right) + B^{\intercal}d d^{\ast} \left(… read more here.
Keywords: omega right; lorentz spaces; systems morrey; left omega ... See more keywords
Anisotropic Hardy-Lorentz Spaces with Variable Exponents
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DOI: 10.4153/cjm-2016-053-6
Abstract: Abstract In this paper we introduce Hardy-Lorentz spaces with variable exponents associated with dilations in ${{\mathbb{R}}^{n}}$ . We establish maximal characterizations and atomic decompositions for our variable exponent anisotropic Hardy-Lorentz spaces. read more here.
Keywords: spaces variable; lorentz spaces; hardy lorentz; anisotropic hardy ... See more keywords
A new generalization of Boas theorem for some Lorentz spaces lambda(q)(omega)
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2018-12-47
Abstract: Let Lambda(q)(omega), q > 0, denote the Lorentz space equipped with the (quasi) norm parallel to f parallel to(Lambda q(omega)) := (integral(1)(0) (f*(t)omega(t))(q)dt/t)(1/q) for a function int ... read more here.
Keywords: boas theorem; lorentz spaces; theorem lorentz; lambda omega ... See more keywords