TY - JOUR
T1 - Stein-Weiss-Adams inequality on Morrey spaces
AU - Kassymov, Aidyn
AU - Ragusa, Maria Alessandra
AU - Ruzhansky, Michael
AU - Suragan, Durvudkhan
N1 - Publisher Copyright:
© 2023 Elsevier Inc.
PY - 2023/12/1
Y1 - 2023/12/1
N2 - We establish Adams type Stein-Weiss inequality on global Morrey spaces on general homogeneous groups. Special properties of homogeneous norms and some boundedness results on global Morrey spaces play key roles in our proofs. As consequence, we obtain fractional Hardy, Hardy-Sobolev, Rellich and Gagliardo-Nirenberg inequalities on Morrey spaces on stratified groups. While the results are obtained in the setting of general homogeneous groups, they are new already for the Euclidean space RN.
AB - We establish Adams type Stein-Weiss inequality on global Morrey spaces on general homogeneous groups. Special properties of homogeneous norms and some boundedness results on global Morrey spaces play key roles in our proofs. As consequence, we obtain fractional Hardy, Hardy-Sobolev, Rellich and Gagliardo-Nirenberg inequalities on Morrey spaces on stratified groups. While the results are obtained in the setting of general homogeneous groups, they are new already for the Euclidean space RN.
KW - Fractional operator
KW - Global Morrey space
KW - Riesz potential
KW - Stein-Weiss inequality
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U2 - 10.1016/j.jfa.2023.110152
DO - 10.1016/j.jfa.2023.110152
M3 - Article
AN - SCOPUS:85170280127
SN - 0022-1236
VL - 285
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 11
M1 - 110152
ER -