Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Multipliers for the twisted Laplacian

100%

Narayanan E.

Colloquium Mathematicum

2003

tom 97

nr 2

189-205

We study $𝓗 ¹-L^{p}$ boundedness of certain multiplier transforms associated to the special Hermite operator.

Oscillating multipliers on the Heisenberg group

63%

Narayanan E., Thangavelu S.

Colloquium Mathematicum

2001

tom 90

nr 1

37-50

Let ℒ be the sublaplacian on the Heisenberg group Hⁿ. A recent result of Müller and Stein shows that the operator $ℒ^{-1/2} sin√ℒ$ is bounded on $L^{p}(Hⁿ)$ for all p satisfying |1/p - 1/2| < 1/(2n). In this paper we show that the same operator is bounded on $L^{p}$ in the bigger range |1/p - 1/2| < 1/(2n-1) if we consider only functions which are band limited in the central variable.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Narayanan E.

1 Thangavelu S.

1 2003

1 2001

Wyniki wyszukiwania

Multipliers for the twisted Laplacian

Oscillating multipliers on the Heisenberg group