For 0<p<1, H^p_L(C^n) admits atomic, maximal-function and heat-semigroup characterizations, and L^{-δ/2}e^{±it√L}: H^p_L→L^p is sharp for δ=(2n-1)(1/p-1/2).
Betancor, Jacek Dziuba\'nski, and Jose Luis Torrea, On H ardy spaces associated with B essel operators , J
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On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator
For 0<p<1, H^p_L(C^n) admits atomic, maximal-function and heat-semigroup characterizations, and L^{-δ/2}e^{±it√L}: H^p_L→L^p is sharp for δ=(2n-1)(1/p-1/2).