TY - JOUR
T1 - On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded
AU - Diening, Lars
AU - Karlovych, Oleksiy
AU - Shargorodsky, Eugene
N1 - Publisher Copyright:
© 2023 Walter de Gruyter GmbH, Berlin/Boston.
PY - 2023/4/1
Y1 - 2023/4/1
N2 - We show that the necessity part of the main result of [L. Diening, O. Karlovych and E. Shargorodsky, On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded, Georgian Math. J. 29 2022, 3, 347-352] can be derived easily from its predecessor [2, Theorem 4.1] and its sufficiency part.
AB - We show that the necessity part of the main result of [L. Diening, O. Karlovych and E. Shargorodsky, On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded, Georgian Math. J. 29 2022, 3, 347-352] can be derived easily from its predecessor [2, Theorem 4.1] and its sufficiency part.
KW - Hardy-Littlewood maximal operator
KW - interpolation
KW - Variable Lebesgue space
UR - http://www.scopus.com/inward/record.url?scp=85147228894&partnerID=8YFLogxK
U2 - 10.1515/gmj-2023-2002
DO - 10.1515/gmj-2023-2002
M3 - Article
AN - SCOPUS:85147228894
SN - 1072-947X
VL - 30
SP - 211
EP - 212
JO - Georgian Mathematical Journal
JF - Georgian Mathematical Journal
IS - 2
ER -