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Recall that for a parabolic cube Q with dimensions ℓ(Q) ×ℓ(Q)2, we have defined a set EQ by EQ = {x −γ(t) : x ∈Q, 9ℓ(Q) ≤t ≤ 10ℓ(Q)}

Necessary condition for boundedness: Proof of Theorem 1

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Commutators of Hilbert transforms along monomial curves

math.CA · 2019-09-04 · conditional · novelty 7.0

Commutators of Hilbert transforms along parabolic and monomial curves are bounded when the symbol lies in a curve-adapted BMO space, and a new testing BMO space gives a partial converse.

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  • Commutators of Hilbert transforms along monomial curves math.CA · 2019-09-04 · conditional · none · ref 3

    Commutators of Hilbert transforms along parabolic and monomial curves are bounded when the symbol lies in a curve-adapted BMO space, and a new testing BMO space gives a partial converse.