# On Entropy Bumps for Calderón-Zygmund Operators

Michael T. Lacey; Scott Spencer

Concrete Operators (2015)

- Volume: 2, Issue: 1, page 47-52, electronic only
- ISSN: 2299-3282

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topMichael T. Lacey, and Scott Spencer. "On Entropy Bumps for Calderón-Zygmund Operators." Concrete Operators 2.1 (2015): 47-52, electronic only. <http://eudml.org/doc/270848>.

@article{MichaelT2015,

abstract = {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 [...]},

author = {Michael T. Lacey, Scott Spencer},

journal = {Concrete Operators},

keywords = {weighted inequality; Ap; bumps; entropy; Calderón-Zygmund operators; entropy-bound method; weighted inequalities; -weights; maximal operator},

language = {eng},

number = {1},

pages = {47-52, electronic only},

title = {On Entropy Bumps for Calderón-Zygmund Operators},

url = {http://eudml.org/doc/270848},

volume = {2},

year = {2015},

}

TY - JOUR

AU - Michael T. Lacey

AU - Scott Spencer

TI - On Entropy Bumps for Calderón-Zygmund Operators

JO - Concrete Operators

PY - 2015

VL - 2

IS - 1

SP - 47

EP - 52, electronic only

AB - 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 [...]

LA - eng

KW - weighted inequality; Ap; bumps; entropy; Calderón-Zygmund operators; entropy-bound method; weighted inequalities; -weights; maximal operator

UR - http://eudml.org/doc/270848

ER -

## References

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