Weak type estimates for a singular convolution operator on the Heisenberg group
نویسندگان
چکیده
منابع مشابه
Weak Type Estimates for a Singular Convolution Operator on the Heisenberg Group
On the Heisenberg group Hn with coordinates (z, t) ∈ Cn × R, define the distribution K(z, t) = L(z)δ(t), where L(z) is a homogeneous distribution on Cn of degree −2n, smooth away from the origin and δ(t) is the Dirac mass in the t variable. We prove that the operator given by convolution with K maps H1(Hn) to weak L1(Hn).
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1991
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1991-1024772-x