Geodesic
Hardy spaces associated with non-negative self-adjoint operators
Shai Dekel 1   ; Gerard Kerkyacharian 2   ; George Kyriazis 3   ; Pencho Petrushev 4
1 Hamanofim St. 9 Herzelia, Israel
2 LPMA, CNRS-UMR 7599, and CREST Paris, France
3 Department of Mathematics and Statistics University of Cyprus 1678 Nicosia, Cyprus
4 Department of Mathematics University of South Carolina Columbia, SC 29208, U.S.A.
Studia Mathematica, Tome 239 (2017) no. 1, pp. 17-54 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The maximal and atomic Hardy spaces $H^p$ and $H^p_A$, $0 \lt p\le 1$, are considered in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel has Gaussian localization. It is shown that $H^p=H^p_A$ with equivalent norms.
DOI : 10.4064/sm8646-12-2016
Keywords: maximal atomic hardy spaces considered setting doubling metric measure space presence non negative self adjoint operator whose heat kernel has gaussian localization shown p equivalent norms

Shai Dekel  1   ; Gerard Kerkyacharian  2   ; George Kyriazis  3   ; Pencho Petrushev  4

1 Hamanofim St. 9 Herzelia, Israel
2 LPMA, CNRS-UMR 7599, and CREST Paris, France
3 Department of Mathematics and Statistics University of Cyprus 1678 Nicosia, Cyprus
4 Department of Mathematics University of South Carolina Columbia, SC 29208, U.S.A. 
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Shai Dekel; Gerard Kerkyacharian; George Kyriazis; Pencho Petrushev. Hardy spaces associated with non-negative self-adjoint operators. Studia Mathematica, Tome 239 (2017) no. 1, pp. 17-54. doi: 10.4064/sm8646-12-2016

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