Geodesic
ON VECTOR-VALUED TENT SPACES AND HARDY SPACES ASSOCIATED WITH NON-NEGATIVE SELF-ADJOINT OPERATORS
Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 689-716

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DOI

In this paper, we study Hardy spaces associated with non-negative self-adjoint operators and develop their vector-valued theory. The complex interpolation scales of vector-valued tent spaces and Hardy spaces are extended to the endpoint p=1. The holomorphic functional calculus of L is also shown to be bounded on the associated Hardy space H 1 L (X). These results, along with the atomic decomposition for the aforementioned space, rely on boundedness of certain integral operators on the tent space T 1(X). 
KEMPPAINEN, MIKKO. ON VECTOR-VALUED TENT SPACES AND HARDY SPACES ASSOCIATED WITH NON-NEGATIVE SELF-ADJOINT OPERATORS. Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 689-716. doi: 10.1017/S0017089515000415
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     author = {KEMPPAINEN, MIKKO},
     title = {ON {VECTOR-VALUED} {TENT} {SPACES} {AND} {HARDY} {SPACES} {ASSOCIATED} {WITH} {NON-NEGATIVE} {SELF-ADJOINT} {OPERATORS}},
     journal = {Glasgow mathematical journal},
     pages = {689--716},
     year = {2016},
     volume = {58},
     number = {3},
     doi = {10.1017/S0017089515000415},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000415/}
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