On Entropy Bumps for Calderón-Zygmund Operators

• Autorzy: Michael T. Lacey , Scott Spencer
• Języki publikacji: EN

Abstrakty

EN

We study twoweight inequalities in the recent innovative language of ‘entropy’ due to Treil-Volberg. The inequalities are extended to Lp, for 1 < p ≠ 2 < ∞, with new short proofs. A result proved is as follows. Let ɛ be a monotonic increasing function on (1,∞) which satisfy [...] Let σ and w be two weights on ℝd. If this supremum is finite, for a choice of 1 < p < ∞, [...] then any Calderón-Zygmund operator T satisfies the bound ||Tof||Lp(w) ≲ ||f|| Lp(o).

Słowa kluczowe

EN

weighted inequality; Ap; bumps; entropy

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2015
• Tom: 2
• Numer: 1

Daty

otrzymano

2015-03-11

zaakceptowano

2015-05-19

online

2015-06-18

Twórcy

autor

Michael T. Lacey

• School of Mathematics, Georgia Institute of Technology, Atlanta GA 30332, USA,

autor

Scott Spencer

• School of Mathematics, Georgia Institute of Technology, Atlanta GA 30332, USA,

Bibliografia

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Identyfikatory

DOI

10.1515/conop-2015-0003