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Janson, Svante; Wolff, Thomas H.

Schatten classes and commutators of singular integral operators. (English) Zbl 0508.42022

Ark. Mat. 20, 301-310 (1982).
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Cited in 1 Review
Cited in 32 Documents

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)

Keywords:

Calderon-Zygmund transform; singular integral operator; commutator; Schatten class; Besov space; mean oscillation
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References:

[1] Bergh, J.; Löfström, J., Interpolation spaces, an introduction (1976), Berlin: Springer-Verlag, Berlin · Zbl 0344.46071
[2] Coifman, R. R.; Rochberg, R., Representation theorems for holomorphic and harmonic functions in L^p, Astérisque, 77, 11-66 (1980) · Zbl 0472.46040
[3] Coifman, R. R.; Rochberg, R.; Weiss, G., Factorization theorems for Hardy spaces in several variables, Ann. Math., 103, 611-635 (1976) · Zbl 0326.32011 · doi:10.2307/1970954
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[6] Janson, S., Mean oscillation and commutators of singular integral operators, Ark. Mat., 16, 263-270 (1978) · Zbl 0404.42013 · doi:10.1007/BF02386000
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[9] Ricci, F. andTaibleson, M. H.,Boundary values of harmonic functions in mixed norm spaces and their atomic structure, preprint 1980.
[10] Rochberg, R.,Trace ideal criteria for Hankel operators and commutators, preprint 1981. · Zbl 0514.47020
[11] Russo, B., On the hausdorff-Young theorem for integral operators, Pac. J. Math., 68, 241-253 (1977) · Zbl 0367.47028
[12] Simon, B., Trace ideals and their applications (1979), Cambridge: Cambridge Univ. Press, Cambridge · Zbl 0423.47001
[13] Stein, E. M.,Singular integrals and differentiability properties of functions, Princeton Univ. Press, 1970. · Zbl 0207.13501
[14] Uchiyama, A., On the compactness of operators of Hankel type, Tôhoku Math. J., 30, 163-171 (1978) · Zbl 0384.47023 · doi:10.2748/tmj/1178230105
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