Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces
نویسندگان
چکیده
We provide non-smooth atomic decompositions for Besov spaces Bsp,q(R n), s > 0, 0 < p, q ≤ ∞, defined via differences. The results are used to compute the trace of Besov spaces on the boundary Γ of bounded Lipschitz domains Ω with smoothness s restricted to 0 < s < 1 and no further restrictions on the parameters p, q. We conclude with some more applications in terms of pointwise multipliers. Math Subject Classifications (MSC2010): 46E35, 42B35, 47B38.
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تاریخ انتشار 2012