Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
30
From page
443
To page
472
Abstract
We consider expansions with respect to the multi-dimensional Hermite functions which are eigenfunctions of the harmonic oscillator L=−Δ+|x|2. For the heat-diffusion and Poisson semigroups corresponding to a self-adjoint extension L of L we investigate their boundary behaviour and mapping properties. All this is done for functions from Lp(w), 1⩽p<∞, w∈Ap. Then Riesz transforms and conjugate Poisson integrals are considered. The Riesz transforms occur to be Calderón–Zygmund operators hence their mapping properties follow by using results from a general theory.
Journal title
Journal of Functional Analysis
Serial Year
2003
Journal title
Journal of Functional Analysis
Record number
709183
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