Integral Operators in Non-Standard Function Spaces: Volume 1: Variable Exponent Lebesgue and Amalgam Spaces
Birkhäuser | Mathematics | June 12, 2016 | ISBN-10: 3319210149 | 567 pages | pdf | 6.05 mb
Authors: Kokilashvili, V., Meskhi, A., Rafeiro, H., Samko, S.
Presents the first comprehensive account of the two-weight theory of basic integral operators, developed in variable exponent Lebesgue spaces
Provides the complete characterizations of Riesz potentials (of functions in variable Lebesgue spaces), weights and space exponents
Explores the weak and strong type estimates criteria for fractional and singular integrals
Introduces new function spaces that unify variable exponent Lebesgue spaces and grand Lebesgue spaces