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 …

Abstract Let L=− Δ+ VL=-Δ+V be a Schrödinger operator, where Δ is the Laplacian on R n
R^n and the non-negative potential V belongs to the reverse Hölder class RH q RH_q for …

In this paper we overview known and recently obtained results on function spaces and
integral operators associated with Schrödinger operators with respect to the properties of the …

In this paper, we study the boundedness of the higher order Riesz transforms R, R* and their
commutators [b, R],[b, R*] on local generalized Morrey spaces LMp, phi alpha, V,{x0} and …

In this paper, we prove the Spanne-Guliyev type boundedness of the generalized fractional
integral operator Iρ from the vanishing generalized local Morrey spaces V LM{x0} p, ϕ1 to V …

Abstract Let L=− Δ+ V (x) be a Schrödinger operator, where Δ is the Laplacian on ℝ n, while
nonnegative potential V (x) belonging to the reverse Hölder class. The aim of this paper is to …

Let L=-?+ V be a Schrödinger operator, where the non-negative potential V belongs to the
reverse Hölder class RH n/2, let b belong to a new BMO?(?) space, and let IL ß be the …

This work considers the Riemann boundary value problem with the piecewise continuous
coefficient in Morrey-Hardy classes. Under some conditions on the coefficient, the …

With b belonging to a new BMO θ (ρ) space, L=−△+ V is a Schrödinger operator on R n with
nonnegative potential V belonging to the reverse Hölder class RH n/2. The fractional integral …