Function spaces in lipschitz domains and on lipschitz manifolds. Characteristic functions as pointwise multipliers
نویسندگان
چکیده
منابع مشابه
Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces
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. Ma...
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Let f be a bounded function on the real line IF!. One may characterize the structural properties off by the modulus of smoothness w(t,f) = sup{lf (4 -f( y)l; x, y E 08, I x y I < t>, and, if w(t) is a continuous nondecreasing function of t > 0 such that w(O) = 0, by the Lipschitz class Lip(w) which is the set of all continuous functions such that su~~<~<i w(t, f)/o(t) < 00. It is possible to ex...
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 2002
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.2002.v15.n2.16910