A multiplier counter-example for mixed-norm spaces

Charles McCarthy

Displaying similar documents to “A multiplier counter-example for mixed-norm spaces”

Endpoint multiplier theorems of Marcinkiewicz type.

Terence Tao, James Wright (2001)

Revista Matemática Iberoamericana

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We establish sharp (H,L) and local (L logL,L) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H to L and L logL to L, and that these estimates are sharp.

Transferring $L^{p}$ multipliers

Anthony H. Dooley (1986)

Annales de l'institut Fourier

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By combining some results of C. S. Herz on the Fourier algebra with the notion of contractions of Lie groups, we prove theorems which allow transference of $L^{p}$ multipliers either from the Lie algebra or from the Cartan motion group associated to a compact Lie group to the group itself.

A multiplier in Besov spaces which is not a multiplier in Lebesgue spaces

Hans Triebel (1979)

Banach Center Publications

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Weak-strong convolution operators on certain disconnected groups

Garth Gaudey, Ian Inglis (1979)

Studia Mathematica

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Distinctness of spaces of Lorentz-Zygmund multipliers

Kathryn E. Hare, Parasar Mohanty (2005)

Studia Mathematica

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We study the spaces of Lorentz-Zygmund multipliers on compact abelian groups and show that many of these spaces are distinct. This generalizes earlier work on the non-equality of spaces of Lorentz multipliers.