On the Fourier Transformation on Spaces of (p, q)-Multipliers.
Walter Schempp, Bernd Dreseler (1975)
Monatshefte für Mathematik
John J.F. Fournier (1983)
Monatshefte für Mathematik
Wolfgang Ardendt (1981)
Mathematische Zeitschrift
Hans Reiter (1993)
Monatshefte für Mathematik
A. Hulanicki (1976)
Studia Mathematica
Ronald Coifman, Guido Weiss (1973)
Studia Mathematica
Carlo Cecchini (1980)
Colloquium Mathematicae
Jiecheng Chen, Dashan Fan (2012)
Annales mathématiques Blaise Pascal
Fefferman-Stein, Wainger and Sjölin proved optimal boundedness for certain oscillating multipliers on . In this article, we prove an analogue of their result on a compact Lie group.
U. B. Tewari (2007)
Colloquium Mathematicae
Let I = (0,∞) with the usual topology. For x,y ∈ I, we define xy = max(x,y). Then I becomes a locally compact commutative topological semigroup. The Banach space L¹(I) of all Lebesgue integrable functions on I becomes a commutative semisimple Banach algebra with order convolution as multiplication. A bounded linear operator T on L¹(I) is called a multiplier of L¹(I) if T(f*g) = f*Tg for all f,g ∈ L¹(I). The space of multipliers of L¹(I) was determined by Johnson and Lahr. Let X be a Banach space...
Jean de Cannière, Wolfgang Arendt (1983)
Mathematische Annalen
Saverio Giulini, Stefano Meda (1990)
Journal für die reine und angewandte Mathematik
E. K. Narayanan, S. Thangavelu (2001)
Colloquium Mathematicae
Let ℒ be the sublaplacian on the Heisenberg group Hⁿ. A recent result of Müller and Stein shows that the operator is bounded on for all p satisfying |1/p - 1/2| < 1/(2n). In this paper we show that the same operator is bounded on in the bigger range |1/p - 1/2| < 1/(2n-1) if we consider only functions which are band limited in the central variable.
A. Derighetti, J. Delaporte (1995)
Monatshefte für Mathematik
Michael Fisher (1974)
Studia Mathematica
Marek Bozejko (1981)
Mathematische Annalen
Gerhard Racher (1981)
Monatshefte für Mathematik
Torres de Squire, Maria (1987)
International Journal of Mathematics and Mathematical Sciences
Garth L. Gaudry (1972)
Mathematische Annalen
Hans G. Feichtinger (1977)
Mathematica Scandinavica
William M. McGovern (1989)
Inventiones mathematicae