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 …

Let $ X $ be a ball quasi-Banach function space on ${\mathbb R}^ n $ and $ H_X ({\mathbb
R}^ n) $ the Hardy space associated with $ X $, and let $\alpha\in (0, n) $ and $\beta\in …

Let X be a ball quasi-Banach function space on R n satisfying some mild assumptions. In
this article, the authors first find a reasonable version T~ of the Calderón–Zygmund operator …

Let X be a ball quasi-Banach function space on R n satisfying some mild assumptions and
let α∈(0, n) and β∈(1,∞). In this article, when α∈(0, 1), the authors first find a reasonable …

PARABOLIC NON-SINGULAR INTEGRAL OPERATOR AND ITS COMMUTATORS ON
PARABOLIC VANISHING GENERALIZED ORLICZ-MORREY SPACES 1. Introduc Page 1 TWMS …

X, where Xβ denotes the β-convexification of X. Moreover, under some different reasonable
assumptions on both X and another ball quasi-Banach function space Y, the authors also …

Abstract Let p, q∈[1,∞), s be a nonnegative integer, α∈ R, and X be R n or a cube Q 0⫋ R
n. In this article, the authors introduce the localized special John–Nirenberg–Campanato …

We show continuity in generalized Orlicz-Morrey spaces M (Phi, phi)(R-+(n)) of nonsingular
integral operators and its commutators with BMO functions. We shall give necessary and …

Characterizations for the parabolic nonsingular integral operator on parabolic generalized
Orlicz-Morrey spaces Page 1 Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci …

This paper proves the boundedness of the generalized Riesz potentials I ρ, μ, τ⁢ f of
functions in the Morrey space L (1, φ; κ)⁢(G) over a general measure space X, with G a …