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 …

The main purpose of this paper is to investigate the behaviour of fractional integral operators
associated to a measure on a metric space satisfying just a mild growth condition, namely …

We introduce conditions on the construction of grand Lebesgue spaces on ℝ n which imply
the validity of the Sobolev theorem for the Riesz fractional integrals I α and the boundedness …

The present paper is devoted to the boundedness of fractional integral operators in Morrey
spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted …

The boundedness of modified maximal operators and potentials with variable parameter in
variable exponent Morrey spaces with non-doubling measure is established. Moreover …

ABSTRACT A complete characterization of a measure μ governing the boundedness of
fractional integral operators defined on a quasi-metric measure space (X, d, μ)(non …

We study multi-commutators on the Morrey spaces generated by BMO functions and
singular integral operators or by BMO functions and fractional integral operators. We place …

Fractional and Hypersingular Operators in Variable Exponent Spaces on Metric Measure
Spaces Page 1 Fractional and Hypersingular Operators in Variable Exponent Spaces on Metric …

We characterize two-weight norm inequalities for potential type integral operators in terms of
Sawyer-type testing conditions. Our result is stated in a space of homogeneous type with no …