Defines Calderón-Hardy spaces H^p_{q,γ}(H^n) and proves unique solvability of L F = f in H^p_{q,2}(H^n) for f in H^p(H^n) when 1 < q < (n+1)/n and a lower bound on p holds.
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Fractional operators T_{α,m} extend boundedly from H_X to Y (or X when α=0) for O(n)-invariant ball quasi-Banach spaces X, with new applications to Lorentz and Orlicz spaces.
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Calder\'on-Hardy type spaces and the Heisenberg sub-Laplacian
Defines Calderón-Hardy spaces H^p_{q,γ}(H^n) and proves unique solvability of L F = f in H^p_{q,2}(H^n) for f in H^p(H^n) when 1 < q < (n+1)/n and a lower bound on p holds.
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Fractional type operators on Hardy spaces associated with ball quasi-Banach function spaces
Fractional operators T_{α,m} extend boundedly from H_X to Y (or X when α=0) for O(n)-invariant ball quasi-Banach spaces X, with new applications to Lorentz and Orlicz spaces.