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arXiv 2011-06-23 0 views

The Aₚ-Aᵢnfty inequality for general Calderon--Zygmund operators

Hyt"onen, Tuomas P. · Lacey, Michael T.

Original · EN

Let T be an arbitrary L² bounded Calderon--Zygmund operator, and T# its maximal truncated version. Then T# satisfies the following bound for all 1<p<∞ and all weights w∈ Aₚ: T# ₗₚ₍w₎ << [w]ₐₚ¹/ᵖ [w]Aᵢnfty¹/ᵖ'+[w¹⁻ᵖ']Aᵢnfty¹/ᵖ.

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