Integral Operators in Non-Standard Function Spaces, Softcover reprint of the original 1st ed. 2016 Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces Operator Theory: Advances and Applications Series, Vol. 249
Auteurs : Kokilashvili Vakhtang, Meskhi Alexander, Rafeiro Humberto, Samko Stefan
The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book?s most distinctive features is that the majority of the statements proved here are in the form of criteria.
The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
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
Date de parution : 05-2016
Ouvrage de 434 p.
15.5x23.5 cm
Date de parution : 06-2018
Ouvrage de 434 p.
15.5x23.5 cm
Mots-clés :
Morrey spaces; Morrey-Campanato and Herz spaces; Sobolev-type theorem; commutators; compactness; grand Bochner spaces; grand Lebesgue spaces; grand Morrey spaces; grand variable exponent Lebesgue spaces; maximal; singular and potential operators; product kernels; variable Herz spaces; variable exponent Hölder spaces; variable exponent Morrey spaces