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Interpolation between \(L^\infty\) and \(H^1\), the real method. (English) Zbl 0295.46056


MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46E99 Linear function spaces and their duals
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References:

[1] Calderón, A. P.; Zygmund, A., On the existence of certain singular integrals, Acta Math., 88, 85-139 (1952) · Zbl 0047.10201
[2] Fefferman, C.; Stein, E. M., \(H^p\) spaces of several variables, Acta Math., 129, 137-194 (1972) · Zbl 0257.46078
[3] Holmstedt, T., Interpolation of quasi-normed spaces, Math. Scand., 26, 177-199 (1970) · Zbl 0193.08801
[4] Lions, J. L.; Peetre, J., Sur une classe d’espaces d’interpolation, Inst. Hautes Études Sci. Publ. Math., 19, 5-68 (1964) · Zbl 0148.11403
[5] Sagher, Y., Interpolation of \(r\)-Banach spaces, Studia Math., 41, 45-70 (1972) · Zbl 0244.46045
[6] Sagher, Y., Some remarks on interpolation of operators and Fourier coefficients, Studia Math., 44, 239-252 (1972) · Zbl 0258.42005
[7] Stein, E., Singular integrals and differentiability properties of functions (1970), Princeton Univ. Press: Princeton Univ. Press Princeton, NJ · Zbl 0207.13501
[8] D. StrookComm. Pure Appl. Math.; D. StrookComm. Pure Appl. Math.
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