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On Entropy Bumps for Calderón-Zygmund Operators

100%

Lacey M. T., Spencer S.

Concrete Operators

2015

tom 2

nr 1

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).

On Entropy Bumps for Calderón-Zygmund Operators

100%

Lacey M. T., Spencer S.

Concrete Operators

2015

tom 2

nr 1

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 [...]

$L^p$ weighted inequalities for the dyadic square function

100%

Uchiyama A.

Studia Mathematica

1995

tom 115

nr 2

135-149

We prove that $ʃ(S_df)^pVdx ≤ C_{p,n}ʃ |f|^p M_d^{([p/2]+2)}Vdx$, where $S_d$ is the dyadic square function, $M_d^{(k)}$ is the k-fold application of the dyadic Hardy-Littlewood maximal function and p > 2.

Ograniczanie wyników

2 Concrete Operators

1 Studia Mathematica

2 Lacey M. T.

2 Spencer S.

1 Uchiyama A.

2 2015

1 1995

Wyniki wyszukiwania

On Entropy Bumps for Calderón-Zygmund Operators

On Entropy Bumps for Calderón-Zygmund Operators

$L^p$ weighted inequalities for the dyadic square function