TY - JOUR
T1 - Sublinear operators in generalized weighted Morrey spaces
AU - Kokilashvili, V.
AU - Meskhi, A.
AU - Rafeiro, H.
N1 - Publisher Copyright:
© 2016, Pleiades Publishing, Ltd.
PY - 2016/9/1
Y1 - 2016/9/1
N2 - Generalized weighted Morrey spaces defined on spaces of homogeneous type are introduced by using weight functions in the Muckenhoupt class. Theorems on the boundedness of a large class of sublinear operators on these spaces are presented. The classes of sublinear operators under consideration contain a whole series of important operators of harmonic analysis, such as, e.g., maximal functions, singular and fractional integrals, Bochner–Riesz means, and so on.
AB - Generalized weighted Morrey spaces defined on spaces of homogeneous type are introduced by using weight functions in the Muckenhoupt class. Theorems on the boundedness of a large class of sublinear operators on these spaces are presented. The classes of sublinear operators under consideration contain a whole series of important operators of harmonic analysis, such as, e.g., maximal functions, singular and fractional integrals, Bochner–Riesz means, and so on.
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U2 - 10.1134/S1064562416050203
DO - 10.1134/S1064562416050203
M3 - Article
AN - SCOPUS:84994796535
SN - 1064-5624
VL - 94
SP - 558
EP - 560
JO - Doklady Mathematics
JF - Doklady Mathematics
IS - 2
ER -