×

An application of Littlewood-Paley theory in harmonic analysis. (English) Zbl 0399.43004


MSC:

43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
42B25 Maximal functions, Littlewood-Paley theory
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Bachelis, G.F., Gilbert, J.E.: Banach spaces of compact multipliers and their dual spaces. Math. Z.125, 285-297 (1972) · Zbl 0219.43008 · doi:10.1007/BF01110992
[2] Cowling, M.G.: SpacesA p q and FourierL p -L q multipliers, Doctoral dissertation. Flinders: University of South Australia 1974
[3] Cowling, M.: The Kunze-Stein phenomen. Ann. of Math.107, 209-234, (1978) · Zbl 0371.22013 · doi:10.2307/1971142
[4] Edwards, R.E., Gaudry, G.I.: Littlewood-Paley and multiplier theory. Berlin, Heidelberg, New York: Springer 1977 · Zbl 0467.42001
[5] Fig?-Talamanca, A., Gaudry, G.I.: Density and representation theorems for multipliers of type (p, q), J. Austral. Math. Soc.7, 1-6 (1967) · Zbl 0171.34102 · doi:10.1017/S1446788700005012
[6] Gilbert, J.E.:L p -convolution operators and tensor products of Banach spaces. II. Ann. Sci. ?cole Norm. Sup. (to appear)
[7] Herz, C.S.: Harmonic synthesis for subgroups. Ann. Inst. Fourier (Grenoble)23, 91-123 (1973) · Zbl 0257.43007
[8] Herz, C.S.: Une g?n?ralisation de la notion de transform?e de Fourier-Stieltjes. Ann. Inst. Fourier (Grenoble)24, 145-157 (1974) · Zbl 0287.43006
[9] Hewitt, E., Ross, K.A.: Abstract harmonic analysis. I, II. Berlin, Heidelberg, New York: Springer 1963, 1970 · Zbl 0115.10603
[10] Stein, E.M.: Topics in harmonic analysis related to the Littlewood-Paley theorem. Princeton: Princeton University Press 1970 · Zbl 0193.10502
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.