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Feher, Franziska; Gaspar, Dumitru; Johnen, Hans

Der Konjugiertenoperator auf rearrangement-invarianten Funktionenräumen. (German) Zbl 0265.46035

Math. Z. 134, 129-141 (1973).
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Cited in 2 Documents

MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
47Gxx Integral, integro-differential, and pseudodifferential operators
44A15 Special integral transforms (Legendre, Hilbert, etc.)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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References:

[1] Bennett, C.: On the harmonic analysis of rearrangement invariant Banach function spaces. Thesis. Univ. of Newcastle upon Tyne, 1971 (unveröffentlicht)
[2] Bennett, C.: A pair of indices for function spaces on the circle. Trans. Amer. math. Soc.174, 289–304 (1972) · Zbl 0254.46028 · doi:10.1090/S0002-9947-1972-0333699-6
[3] Bennett, C.: Homogenous algebras on the circle II. – Multipliers, Ditkin conditions. Ann. Inst. Fourier22, 21–50 (1972) · Zbl 0228.46047
[4] Boyd, D. W.: The Hilbert Transform on rearrangement-invariant spaces. Canadian J. Math.19, 599–616 (1967) · Zbl 0147.11302 · doi:10.4153/CJM-1967-053-7
[5] Boyd, D. W.: Indices of function spaces and their relationship to interpolation. Canadian J. Math.21, 1245–1254 (1969) · Zbl 0184.34802 · doi:10.4153/CJM-1969-137-x
[6] Butzer, P. L., Berens, H.: Semi-Groups of Operators and Approximation. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0164.43702
[7] Butzer, P. L., Nessel, R. J.: Fourier Analysis and Approximation. Vol. 1, Basel-New York: Birkhäuser Verlag and New York: Academic Press 1971 · Zbl 0217.42603
[8] Calderón, A. P.: Spaces betweenL 1 andL and the theorem of Marcinkiewicz. Studia math.26, 273–299 (1966) · Zbl 0149.09203
[9] Fehér, F., Gaşpar, D., Johnen, H.: Normkonvergenz von Fourierreihen in rearrangement-invarianten Räumen. J. functional Analysis13, 417–434 (1973) · Zbl 0258.42009 · doi:10.1016/0022-1236(73)90059-1
[10] Lorentz, G. G.: Bernstein Polynomials. Toronto: Univ. of Toronto Press 1953
[11] Luxemburg, W. A.: Banach function spaces. Thesis, Delft Technical University (1955)
[12] Luxemburg, W. A.: Rearrangement-invariant Banach function spaces. Queen’s papers in Pure and Applied Mathematics. Queen’s University, Canada10, 83–144 (1967)
[13] Luxemburg, A. W., Zaanen, A. C.: Notes on Banach function spaces I–IV. Nederl. Akad. Wet., Proc., Ser. A66, 135–147, 148–153, 239–250, 251–263 (1963) · Zbl 0117.08002
[14] O’Neil, R., Weiss, G.: The Hilbert transform and rearrangement functions. Studia math.23, 189–198 (1963)
[15] Zygmund, A.: Trigonometric Series. Vol. I, II. Cambridge: Cambridge University Press 1959 · Zbl 0085.05601
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