A multiplier in Besov spaces which is not a multiplier in Lebesgue spaces
Hans Triebel (1979)
Banach Center Publications
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Hans Triebel (1979)
Banach Center Publications
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W. Littman, C. McCarthy, N. Riviere (1968)
Studia Mathematica
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James Vance, Stephen Wainger, James Wright (1994)
Revista Matemática Iberoamericana
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In this paper we study the Hilbert transform and maximal function related to a curve in R.
Anthony Carbery (1986)
Revista Matemática Iberoamericana
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The purposes of this paper may be described as follows: (i) to provide a useful substitute for the Cotlar-Stein lemma for Lp-spaces (the orthogonality conditions are replaced by certain fairly weak smoothness asumptions); (ii) to investigate the gap between the Hörmander multiplier theorem and the Littman-McCarthy-Rivière example - just how little regularity is really needed? (iii) to simplify and extend the work of Duoandikoetxea...
Per Sjölin (1974)
Studia Mathematica
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Michał Wojciechowski (2000)
Studia Mathematica
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An integral criterion for being an Fourier multiplier is proved. It is applied in particular to suitable regular functions which depend on the product of variables.
George Gasper, Walter Trebels (1979)
Studia Mathematica
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Sundaram Thangavelu (1990)
Revista Matemática Iberoamericana
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Richard Rubin (1978)
Studia Mathematica
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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.