Multiplier criteria of Hörmander type for Jacobi expansions
George Gasper, Walter Trebels (1980)
Studia Mathematica
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George Gasper, Walter Trebels (1980)
Studia Mathematica
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S. C. Chakrabarti (1954)
Rendiconti del Seminario Matematico della Università di Padova
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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.
O. P. Sharma (1965)
Collectanea Mathematica
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Al-Salam, W.A. (1956)
Portugaliae mathematica
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Z. Ciesielski (1966)
Studia Mathematica
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Ragab, Shahwar F. (1993)
Portugaliae mathematica
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G. Sampson (1993)
Studia Mathematica
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We consider operators of the form with Ω(y,u) = K(y,u)h(y-u), where K is a Calderón-Zygmund kernel and (see (0.1) and (0.2)). We give necessary and sufficient conditions for such operators to map the Besov space (= B) into itself. In particular, all operators with , a > 0, a ≠ 1, map B into itself.
Anandani, P. (1971)
Portugaliae mathematica
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Peter Detre (1991)
Studia Mathematica
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