Defines g_k^(α,β) Littlewood-Paley-Stein functions for the Jacobi operator J^(α,β) - I and proves weighted norm equivalence, yielding a Laplace-type multiplier theorem.
Szeg˝ o, Orthogonal polynomials , American Mathematical Society Providence, Rhode Is- land, 1975
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Discrete Harmonic Analysis associated with Jacobi expansions III: the Littlewood-Paley-Stein $g_{k}$-functions and the Laplace type multipliers
Defines g_k^(α,β) Littlewood-Paley-Stein functions for the Jacobi operator J^(α,β) - I and proves weighted norm equivalence, yielding a Laplace-type multiplier theorem.