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McKennon, Kelly

The multiplication functions of Kucera. (English) Zbl 0431.46022

Czech. Math. J. 29(104), 169-177 (1979).
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MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46C99 Inner product spaces and their generalizations, Hilbert spaces

Keywords:

Kucera space; multiplication functions; multipliers on Sobolev spaces
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References:

[1] Hewitt E., Ross K.: Abstract Harmonic Analysis, Vol. I. Berlin: Springer Verlag. 1963. · Zbl 0115.10603
[2] Hörmander L.: Linear Partial Differential Operators. Berlin: Springer Verlag. 1969. · Zbl 0175.39201
[3] Kucera J.: Fourier \(L_{2}\)-transform of distributions. Czech. Math. J. 19, 143-153 (1969). · Zbl 0176.42301
[4] Kucera J.: On multipliers of temperate distributions. Czech. Math. J. 21, 610-618 (1971). · Zbl 0224.46048
[5] Kucera J., McKennon K.: Certain topologies on the space of temperate distributions and its multipliers. Indiana Math. J. 24, 773 - 775 (1975). · Zbl 0301.46029 · doi:10.1512/iumj.1975.24.24061
[6] Kucera J., McKennon K.: The topology on certain spaces of multipliers. Rocky Mountain J. of Math. 7, 377-383 (1977). · Zbl 0377.46024 · doi:10.1216/RMJ-1977-7-2-377
[7] McKennon K.: Sobolev Multipliers. To appear in Czech. Math. J. · Zbl 0437.46031
[8] Yosida K.: Functional Analysis. Berlin: Springer Verlag. 1968. · Zbl 0152.32102
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