Compactness of a class of Volterra operators. (English) Zbl 0289.47028


47Gxx Integral, integro-differential, and pseudodifferential operators
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Full Text: DOI


[1] D. W. BOYD AND J. A. ERDOS, Norm inequalities for a class of Volterra operators.
[2] T. ANDO, On compactness of integral operators, Nederl. Akad. Wetensch. Proc, Ser A-65, Indag. Math., 24(1962), 235-239.
[3] M. A. KRASNOSEL’SKII, P. P. ZABREIKO, E. J. PUSTYL’NIK, AND P. E. SOBOLEVSKII, In tegral Operators in Spaces of Summable Functions, Izdat. ”Nauk”, Moscow, 1966.
[4] B. MUCKENHOUPT, Hardy’s inequality with weights, Studia Mathematica, 44 (1972), 31-38 · Zbl 0236.26015
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