scholarly journals Strichartz Estimates and Fourier Restriction Theorems on the Heisenberg Group

2021 ◽  
Vol 27 (2) ◽  
Author(s):  
Hajer Bahouri ◽  
Davide Barilari ◽  
Isabelle Gallagher
Keyword(s):  
Heisenberg Group ◽  
Strichartz Estimates ◽  
Fourier Restriction ◽  
Restriction Theorems

scholarly journals Bilinear Fourier Restriction Theorems

2012 ◽  
Vol 18 (6) ◽  
pp. 1265-1290
Author(s):  
Ciprian Demeter ◽  
S. Zubin Gautam
Keyword(s):  
Fourier Restriction ◽  
Restriction Theorems

Fourier restriction theorems for curves with affine and Euclidean arclengths

1985 ◽  
Vol 97 (1) ◽  
pp. 111-125 ◽  
Author(s):  
S. W. Drury ◽  
B. P. Marshall
Keyword(s):  
Fourier Transform ◽  
Smooth Manifold ◽  
Fourier Restriction ◽  
Survey Article ◽  
Restriction Theorems ◽  
Schwartz Class ◽  
The Fourier Transform ◽  
Image Position

Let M be a smooth manifold in . One may ask whether , the restriction of the Fourier transform of f to M makes sense for every f in . Since, for does not make sense pointwise, it is natural to introduce a measure σ on M and ask for an inequalityfor every f in (say) the Schwartz class. Results of this kind are called restriction theorems. An excellent survey article on this subject is to be found in Tomas[13].

Fourier restriction theorems for degenerate curves

1987 ◽  
Vol 101 (3) ◽  
pp. 541-553 ◽  
Author(s):  
S. W. Drury ◽  
B. P. Marshall
Keyword(s):  
Finite Order ◽  
Smooth Manifold ◽  
Fourier Restriction ◽  
Restriction Theorems ◽  
Image Position

Fourier restriction theorems contain estimates of the formwhere σ is a measure on a smooth manifold M in ∝n. This paper is a continuation of [5], which considered this problem for certain degenerate curves in ∝n. Here estimates are obtained for all curves with degeneracies of finite order. References to previous work on this problem may be found in [5].

Weighted estimates for commutators of Hausdorff operators on the Heisenberg group

2020 ◽  
pp. 39-62
Author(s):  
Nguyen Minh Chuong ◽  
◽  
Dao Van Duong ◽  
Nguyen Duc Duyet ◽  
◽  
...  
Keyword(s):  
Heisenberg Group ◽  
Weighted Estimates ◽  
Hausdorff Operators

The horofunction boundary of the Heisenberg group

2009 ◽  
Vol 242 (2) ◽  
pp. 299-310 ◽  
Author(s):  
Tom Klein ◽  
Andrew Nicas
Keyword(s):  
Heisenberg Group
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