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- W2168608516 abstract "We introduce classes of one-parameter families (OPF) of operators on C c t8 (ℂ) which characterize the behavior of operators associated to the $$bar partial - problem$$ problem in the weighted space L2 (ℂ, e−2p) where p is a subharmonic, nonharmonic polynomial. We prove that an order 0 OPF operator extends to a bounded operator from Lq (ℂ) to itself, 1 < q < ∞, with a bound that depends on q and the degree of p but not on the parameter τ or the coefficients of p. Last, we show that there is a one-to-one correspondence given by the partial Fourier transform in τ between OPF operators of order m ≤ 2 and nonisotropic smoothing (NIS) operators of order m ≤ 2 on polynomial models in ℂ2." @default.
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- W2168608516 date "2006-06-01" @default.
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- W2168608516 title "One-parameter families of operators in ℂ" @default.
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- W2168608516 doi "https://doi.org/10.1007/bf02922119" @default.
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