22 citations · 217 across the 88 of their papers we have counts for
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Estimates for tail functions under Riesz transforms in Grand Lebesgue Spaces
Maria Rosaria Formica, Eugene Ostrovsky, Leonid Sirota
We study the tail behaviour of measurable functions under generalized Riesz-type operators in the framework of Grand Lebesgue Spaces. By exploiting the connection between the growt…
Homogeneous kernel integral operators in Grand Lebesgue Spaces
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
In this short report we estimate and calculate the exact value of norms of multilinear integral operators having homogeneous kernel, acting between two Grand Lebesgue Spaces.
Norm estimates in Grand Lebesgue Spaces for some operators, including magic square matrices
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We extend the classical Lebesgue-Riesz norm estimations for integral operators acting between different classical Lebesgue-Riesz spaces into the Grand Lebesgue Spaces, in the gener…
Relations between Lorentz-Zygmund and Grand Lebesgue Spaces and norms
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We establish imbedding properties between Grand Lebesgue Spaces and (generalized) Lorentz-Zygmund ones. We extend some known previous results concerning imbedding theorems between…
Quasi Grand Lebesgue Spaces
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We introduce a new class of quasi-Banach spaces as an extension of the classical Grand Lebesgue Spaces for small values of the parameter, and we investigate some its properties, in…
Bochner-Riesz operators in Grand Lebesgue spaces
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We provide the conditions for the boundedness of the Bochner-Riesz operator acting between two different Grand Lebesgue Spaces. Moreover we obtain a lower estimate for the constant…