The atomic decomposition for parabolic 𝐻^{𝑝} spaces

Robert H. Latter, Akihito Uchiyama

Type: Article

Publication Date: 1979-01-01

Citations: 23

DOI: https://doi.org/10.1090/s0002-9947-1979-0536954-6

Abstract

The theorem of A. P. Calderón giving the atomic decomposition for certain parabolic <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper H Superscript p"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>H</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{H^p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> spaces is extended to all such spaces. The proof given also applies to Hardy spaces defined on the Heisenberg group.

Locations

Transactions of the American Mathematical Society - View - PDF

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