dc.contributor.author
Domínguez, Ó.
dc.contributor.author
Tikhonov, S.
dc.date.accessioned
2023-06-19T10:24:09Z
dc.date.accessioned
2024-09-19T14:25:34Z
dc.date.available
2023-06-19T10:24:09Z
dc.date.available
2024-09-19T14:25:34Z
dc.date.issued
2023-03-16
dc.identifier.uri
http://hdl.handle.net/2072/535417
dc.description.abstract
In this paper we study sharp pointwise inequalities for maximal operators. In particular, we strengthen DeVore's inequality for the moduli of smoothness and a logarithmic variant of Bennett-DeVore-Sharpley's inequality for rearrangements. As a consequence, we improve the classical Stein-Zygmund embedding deriving B∞d/pLp,∞(Rd) → BMO(Rd) for 1 < p < ∞. Moreover, these results are also applied to establish new Fefferman-Stein inequalities, Calderón-Scott type inequalities, and extrapolation estimates. Our approach is based on the limiting interpolation techniques. © 2022 American Mathematical Society
eng
dc.description.sponsorship
Agence Nationale de la Recherche, ANR: ANR-10-LABX-0070, ANR-11-IDEX-0007, MTM2017-84058-P; Generalitat de Catalunya; European Regional Development Fund, ERDF: 2017 SGR 358, AP08856479, CEX2020-001084-M, PID2020-114948GB-I00; Agencia Estatal de Investigación, AEI
dc.format.extent
47 p.
cat
dc.publisher
American Mathematical Society
cat
dc.relation.ispartof
Transactions of the American Mathematical Society
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
extrapolations; Fefferman-Stein's inequality; moduli of smoothness; Sharp maximal function; Stein-Zygmund embedding
cat
dc.title
NEW ESTIMATES FOR THE MAXIMAL FUNCTIONS AND APPLICATIONS
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.1090/tran/8632
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
