Maximal regularity and Hardy spaces
P.a Auscher, F.a Bernicot, J.b Zhao (2008)
Collectanea Mathematica
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P.a Auscher, F.a Bernicot, J.b Zhao (2008)
Collectanea Mathematica
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Pascal Auscher, Frédéric Bernicot, Jiman Zhao (2009)
Collectanea Mathematica
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Amiran Gogatishvili, Bohumir Opic, Lubos Pick (2006)
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Marco Peloso, Silvia Secco (2008)
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Martin Kreuzer, Lorenzo Robbiano (2008)
Collectanea Mathematica
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Y. Han (2008)
Collectanea Mathematica
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Lorenzo Robbiano (2009)
Collectanea Mathematica
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Marco Annoni, Loukas Grafakos, Petr Honzík (2009)
Collectanea Mathematica
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Hussein M. Al-Qassem (2005)
Collectanea Mathematica
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In this paper, we study the Marcinkiewicz integral operators M on the product space R x R. We prove that M is bounded on L(R x R) (1< p < ∞) provided that h is a bounded radial function and Ω is a function in certain block space B (S x S) for some q > 1. We also establish the optimality of our condition in the sense that the space B (S x S) cannot be replaced by B (S x S) for any −1 < r < 0. Our results...
Christopher Stuart (2007)
Collectanea Mathematica
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In this note an internal property of a ring of sets, named the Nested Partition Property, is shown to imply the Nikodym Property. A wide range of examples are shown to have this property.
Leszek Olszowy (2010)
Collectanea Mathematica
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