We give an overview of a selection of studies on fractional operations of integration and
differentiation of variable order, when this order may vary from point to point. We touch on …

In this paper we overview known and recently obtained results on Morrey-Campanato
spaces with respect to the properties of the spaces themselves, that is, we do not touch the …

This book is a result of our ten-year fruitful collaboration. It deals with integral operators of
harmonic analysis and their various applications in new, non-standard function spaces …

Title: Morrey spaces: introduction and applications to integral operators and PDE's/Yoshihiro
Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. Description: First edition.| Boca Raton …

Morrey spaces can complement the boundedness properties of operators that Lebesgue
spaces can not handle. Morrey spaces which we have been handling are called classical …

This paper establishes the boundedness of the spherical maximal function, Rubio de
Francia operators, Bochner–Riesz operators, Fourier integral operators, geometric maximal …

In this paper the authors study the boundedness for a large class of sublinear operators T_
α, α ∈ 0, n) generated by Calderón–Zygmund operators (α= 0) and generated by Riesz …

We introduce a new type of variable exponent function spaces Ḣ p (·), q (·), α (·)(R^ n) and H
p (·), q (·), α (·)(R^ n) of Herz type, homogeneous and non-homogeneous versions, where all …

Sobolev’s inequality for double phase functionals with variable exponents Skip to content
Should you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP …

This paper is oriented to an elementary introduction to function spaces with variable
exponents and a survey of related function spaces. After providing basic and elementary …