Results 31 to 40 of about 5,227,416 (263)

On the approximation by trigonometric polynomials in weighted Lorentz spaces

Journal of Function Spaces and Applications, 2010
We obtain estimates of structural characteristics of 2π-periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best ...
Vakhtang Kokilashvili, Yunus E. Yildirir
doaj   +1 more source

Biharmonic hypersurfaces in the standard Lorentz 5-pseudosphere [PDF]

Journal of Mahani Mathematical Research
In this manuscript, we study the Lorentz hypersurfaces of the Lorentz 5-pseudosphere (i.e. the pseudo-Euclidean 5-sphere) $S^5_1$ having three distinct principal curvatures.
Ghorbanali Haghighatdoos, Sara Hoseinpour, Firooz Pashaie, Leila Shahbaz   +3 more
doaj   +1 more source

Characterization of interpolation between Grand, small or classical Lebesgue spaces

, 2017
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz-Zygmund spaces or more generally $G\Gamma$-spaces. As a direct consequence of our results any Lorentz-Zygmund space $L^{a,r}({\rm Log}\,
Fiorenza, Aberto, Formica, Maria Rosaria, Gogatishvili, Amiran, Kopaliani, Tengiz, Rakotoson, Jean Michel   +4 more
core   +1 more source

Real Interpolation method, Lorentz spaces and refined Sobolev inequalities

, 2012
In this article we give a straightforward proof of refined inequalities between Lorentz spaces and Besov spaces and we generalize previous results of H. Bahouri and A. Cohen.
Chamorro, Diego, Lemarié-Rieusset, Pierre-Gilles   +1 more
core   +3 more sources

Variable Hardy–Lorentz spaces Hp(·),q(Rn)

Mathematische Nachrichten, 2018
Let p(·) be a measurable function on Rn with ...
Y. Jiao, Yahui Zuo, Dejian Zhou, Lian Wu
semanticscholar   +1 more source

Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces

The Scientific World Journal, 2014
The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced.
N. Hussain, P. Salimi
doaj   +1 more source

Newtonian Lorentz Metric Spaces

, 2012
This paper studies Newtonian Sobolev-Lorentz spaces. We prove that these spaces are Banach. We also study the global p,q-capacity and the p,q-modulus of families of rectifiable curves.
Costea, Serban, Miranda Jr, Michele
core   +1 more source

Sharpness of the Brascamp–Lieb inequality in Lorentz spaces

, 2017
We provide necessary conditions for the refined version of the Brascamp-Lieb inequality where the input functions are allowed to belong to Lorentz spaces, thereby establishing the sharpness of the range of Lorentz exponents in the subcritical case. Using
N. Bez, Sanghyuk Lee, Shohei Nakamura, Y. Sawano   +3 more
semanticscholar   +1 more source

Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces [PDF]

, 2016
A precise characterization of inequalities in weighted Lebesgue spaces with positive quasilinear integral operators of iterative type on the half-axis is given.
D. Prokhorov, V. D. Stepanov
semanticscholar   +1 more source

Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces

Open Mathematics
We define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
doaj   +1 more source