In this paper, we will obtain the strong type and weak type estimates for vector-valued analogs of intrinsic square functions in the generalized weighted Morrey spacesM w (l2). We study the boundedness of intrinsic square functions including the Lusin area integral, the Littlewood-Paley g-function and gλ -function, and their multilinear commutators on vector-valued generalized weighted Morrey s...

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 LM {x0} q,φ2 , 1 < p < q < ∞, and from the space V LM {x0} 1,φ1 to the weak space VWLM {x0} q,φ2 , 1 < q < ∞. We also prove the Adams-Guliyev type boundedness of the operator Iρ from the vanishing generalized Morrey...

Abstract In this study, we investigate the boundedness of composition operators acting on Morrey spaces and weak spaces. The primary aim study is to a necessary sufficient condition operator induced by diffeomorphism particular, detailed information derived from boundedness, i.e., bi-Lipschitz continuity mapping that induces follows mapping. idea proof determine norm characteristic functions, e...

In this paper, the authors study the boundedness of multilinear Calderón-Zygmund singular integral operators and their commutators in generalized Morrey spaces.

In this paper, we establish CBMO estimates for the multilinear commutator related to the Marcinkiewicz operator in Herz and Morrey-Herz spaces.

In this paper, the boundedness and compactness of weighted composition operators from analytic Morrey spaces into Bloch-type spaces and little Bloch-type spaces are studied.

Paul Khairy, MD, PhD; Jamil Aboulhosn, MD; Michelle Z. Gurvitz, MD; Alexander R. Opotowsky, MD; François-Pierre Mongeon, MD; Joseph Kay, MD; Anne Marie Valente, MD; Michael G. Earing, MD; George Lui, MD; Deborah R. Gersony, MD; Stephen Cook, MD; Jennifer Grando Ting, MD; Michelle J. Nickolaus, CRNP; Gary Webb, MD; Michael J. Landzberg, MD; Craig S. Broberg, MD; for the Alliance for Adult Resear...