A quantitative approach to weighted Carleson condition

• Autorzy: Israel P. Rivera-Ríos
• Języki publikacji: EN

Abstrakty

EN

Quantitative versions of weighted estimates obtained by F. Ruiz and J.L. Torrea [30, 31] for the operator [...] are obtained. As a consequence, some sufficient conditions for the boundedness of Min the two weight setting in the spirit of the results obtained by C. Pérez and E. Rela [26] and very recently by M. Lacey and S. Spencer [17] for the Hardy-Littlewood maximal operator are derived. As a byproduct some new quantitative estimates for the Poisson integral are obtained.

Słowa kluczowe

EN

Weighted Carleson condition; Maximal operator; Weights; Poisson integral; Bumps; Entropy

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 58-75

Daty

wydano

2017-01-26

otrzymano

2016-08-11

zaakceptowano

2017-06-07

online

2017-06-22

Twórcy

autor

Israel P. Rivera-Ríos

• , Basque Country,

Identyfikatory

DOI

10.1515/conop-2017-0006