Results 41 to 50 of about 4,123 (101)

Classical non-linear operators in Grand Lebesgue Spaces

open access: yes, 2021
We study in this short report the boundedness of classical non-linear operators: Nemytskii, Urysohn, Hammerstein acting from one Grand Lebesgue Space to another one, and deduce some its upper norm estimates. We bring also some examples to illustrate the exactness of our estimates.
Formica, M. R.   +2 more
openaire   +2 more sources

Trigonometric approximation in Sobolev-Grand Lebesgue Spaces

open access: yes, 2016
We study in this short preprint the theory of trigonometric approximation in the so-called Banach functional rearrangement invariant Sobolev-Grand Lebesgue Spaces.
Ostrovsky, E., Sirota, L.
openaire   +2 more sources

Oscillating Operators in Bilateral Grand Lebesgue Spaces

open access: yes, 2009
In this paper we obtain the non - asymptotic estimations for oscillating integral operators in the so - called Bilateral Grand Lebesgue Spaces. We also give examples to show the sharpness of these inequalities.
Ostrovsky, E., Sirota, L.
openaire   +2 more sources

Integral Operators in Bilateral Grand Lebesgue Spaces

open access: yes, 2009
In this paper we estimate the norm of operator acting from one Bilateral Grand Lebesgue Space (BGLS) into other Bilateral Grand Lebesgue Space. We also give some examples to show the sharpness of offered inequalities.
Ostrovsky, E., Sirota, L., Rogover, E.
openaire   +2 more sources

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