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Maximal Operators and Singular Integral Operators Along Submanifolds by Hung Viet Le is a Mathematics article available to read on EtoBox.

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In this paper we prove, for certain values of p, the L p boundedness of the maximal operator where the supremum is taken over all measurable radial functions h with h L s (R + , dr r ) 1 and Here Ω ∈ H 1 (S m-1 ), Γ (y) = (φ(|y|)y , Ψ (|y|)). We also obtain the range of p for which the maximal operator above is unbounded. Moreover, we show that the singular integral and its associated maximal function T \* Γ f (x) are bounded in L p (R n ) for 1 < p < ∞.

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Author

Hung Viet Le

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)

Published

2004

Field

Mathematics (Physical Sciences)