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Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators

Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators

Abstract Let L be a homogeneous divergence form higher order elliptic operator with complex bounded measurable coefficients and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:msub> <m:mi>p</m:mi> <m:mo>-</m:mo> </m:msub> <m:mo>⁢</m:mo> <m:mrow> <m:mo>(</m:mo> <m:mi>L</m:mi> <m:mo>)</m:mo> </m:mrow> </m:mrow> <m:mo>,</m:mo> <m:mrow> <m:msub> <m:mi>p</m:mi> <m:mo>+</m:mo> </m:msub> <m:mo>⁢</m:mo> <m:mrow> <m:mo>(</m:mo> <m:mi>L</m:mi> <m:mo>)</m:mo> </m:mrow> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:math> …