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Estimate x shift

estimate_x_shift

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Let $g$ have bounded finite support, let $r>0$ , and suppose $d(x,x')\le r$ . The truncated Calderón-Zygmund operator changes by at most a constant times the global maximal function:

$d\bigl(T_r g(x),T_r g(x')\bigr)\le C(a)\,M g(x).$

harmonic analysisFourier analysismeasure theory

Source project: Carleson formalization

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