INTEGRAL OPERATORS OF HARMONIC ANALYSIS IN SPACES DEFINED IN TERMS OF LOCAL CHARACTERISTICS OF FUNCTIONS
Sadiq K. Abdullayev, Elchin V. Mammadov · International Journal of Pure and Apllied Mathematics · 2017
In the paper we consider boundedness of subadditive operators from a rather wide class containing in particular, singular integral operators, Riesz and Bessel potentials, maximum functions, fractional-maximum functions, Poisson integral, associated with Laplace-Bessel differential operators, in new scales of Banach spaces, introduced in terms of integral characteristics like Ωp.