Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group
نویسندگان
چکیده
منابع مشابه
p-ESTIMATES FOR SINGULAR INTEGRALS AND MAXIMAL OPERATORS ASSOCIATED WITH FLAT CURVES ON THE HEISENBERG GROUP
The maximal function along a curve (t, γ (t), tγ (t)) on the Heisenberg group is discussed. The L p-boundedness of this operator is shown under the doubling condition of γ ′ for convex γ in R. This condition also applies to the singular integrals when γ is extended as an even or odd function. The proof is based on angular LittlewoodPaley decompositions in the Heisenberg group.
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1995
ISSN: 0894-0347
DOI: 10.1090/s0894-0347-1995-1273412-0