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Gaussian and non-Gaussian distributed random analytical and entire functions
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We investigate the complex Gaussian as well as non-Gaussian distributed random analytical and entire functions (complex entire random field) and calculate their domain of definiten…
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…