Add to ORKGWe give a Hörmander-type sufficient condition on an operator-valued function M that implies the Lp-boundedness result for the operator TM defined by (TMf)^ = Mf^ on the (2n + 1)-dimensional Heisenberg group Hn. Here ^ denotes the Fourier transform on Hn defined in terms of the Fock representations. We also show the H1-L1 boundedness of TM, ||TMf||L1 = C||f||H1, for Hn under the same hypotheses of Lp-boundedness
International audienceWe here revisit Fourier analysis on the Heisenberg group H^d. Whereas, accordi...
Abstract In the setting of the Heisenberg group H n $\mathbb{H}^{n}$ , we characterize those nonnega...
Let £ denote the sub-Laplacian on the Heisenberg group Hm. We prove that eiv£ / (1 - £)a/2 extends t...
In this thesis we deal with two problems in harmonic analysis. In the first problem we discuss weight...
We prove that, if Δ_1 is the Hodge Laplacian acting on differential 1-forms on the (2n+1)-dimensiona...
In this paper, we prove weighted norm inequalities for Weyl multipliers satisfying Mauceri's conditi...
In this paper, we prove weighted norm inequalities for Weyl multipliers satisfying Mauceri's conditi...
Let L be the sublaplacian on the Heisenberg group H<SUP>n</SUP>. A recent result of Müller and Stein...
In this paper, we study some operator theoretical properties of pseudo-differential operators with o...
Let T be a multiplier operator satisfying Hrmander conditions on the Heisenberg group and let b∈BMO....
In this paper we discuss the Lp-Lq boundedness of both spectral and Fourier multipliers on general l...
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nat...
Let m: Rn! C be a bounded function on the euclidean space Rn and de®ne the operator Tm associated wi...
AbstractIn this paper we establish Lp-boundedness (1<p<∞) for a class of singular convolution operat...
Let T be a multiplier operator satisfying Hormander conditions on the Heisenberg group and let b is ...
International audienceWe here revisit Fourier analysis on the Heisenberg group H^d. Whereas, accordi...
Abstract In the setting of the Heisenberg group H n $\mathbb{H}^{n}$ , we characterize those nonnega...
Let £ denote the sub-Laplacian on the Heisenberg group Hm. We prove that eiv£ / (1 - £)a/2 extends t...
In this thesis we deal with two problems in harmonic analysis. In the first problem we discuss weight...
We prove that, if Δ_1 is the Hodge Laplacian acting on differential 1-forms on the (2n+1)-dimensiona...
In this paper, we prove weighted norm inequalities for Weyl multipliers satisfying Mauceri's conditi...
In this paper, we prove weighted norm inequalities for Weyl multipliers satisfying Mauceri's conditi...
Let L be the sublaplacian on the Heisenberg group H<SUP>n</SUP>. A recent result of Müller and Stein...
In this paper, we study some operator theoretical properties of pseudo-differential operators with o...
Let T be a multiplier operator satisfying Hrmander conditions on the Heisenberg group and let b∈BMO....
In this paper we discuss the Lp-Lq boundedness of both spectral and Fourier multipliers on general l...
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nat...
Let m: Rn! C be a bounded function on the euclidean space Rn and de®ne the operator Tm associated wi...
AbstractIn this paper we establish Lp-boundedness (1<p<∞) for a class of singular convolution operat...
Let T be a multiplier operator satisfying Hormander conditions on the Heisenberg group and let b is ...
International audienceWe here revisit Fourier analysis on the Heisenberg group H^d. Whereas, accordi...
Abstract In the setting of the Heisenberg group H n $\mathbb{H}^{n}$ , we characterize those nonnega...
Let £ denote the sub-Laplacian on the Heisenberg group Hm. We prove that eiv£ / (1 - £)a/2 extends t...