On Littlewood-Paley functions
Wolodymyr Madych (1974)
Studia Mathematica
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Displaying similar documents to “Lp-bounds for spherical maximal operators on Zn.”
On Littlewood-Paley functions
The Hilbert transform and maximal function along nonconvex curves in the plane.
James Vance, Stephen Wainger, James Wright (1994)
Revista Matemática Iberoamericana
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In this paper we study the Hilbert transform and maximal function related to a curve in R.
Hardy space estimates for multilinear operators (II).
Loukas Grafakos (1992)
Revista Matemática Iberoamericana
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We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces L(R) into the Hardy spaces H(R). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.
Variants of the Calderón-Zygmund theory for L-spaces.
Anthony Carbery (1986)
Revista Matemática Iberoamericana
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The purposes of this paper may be described as follows: (i) to provide a useful substitute for the Cotlar-Stein lemma for Lp-spaces (the orthogonality conditions are replaced by certain fairly weak smoothness asumptions); (ii) to investigate the gap between the Hörmander multiplier theorem and the Littman-McCarthy-Rivière example - just how little regularity is really needed? (iii) to simplify and extend the work of Duoandikoetxea...
Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.
Sundaram Thangavelu (1991)
Revista Matemática Iberoamericana
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The aim of this paper is to study mean value operators on the reduced Heisenberg group H/Γ, where H is the Heisenberg group and Γ is the subgroup {(0,2πk): k ∈ Z} of H.
Fluctuations of brownian motion with drift.
Joseph G. Conlon, Peder Olsen (1999)
Publicacions Matemàtiques
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Consider 3-dimensional Brownian motion started on the unit sphere {|x| = 1} with initial density ρ. Let ρt be the first hitting density on the sphere {|x| = t + 1}, t > 0. Then the linear operators T defined by T ρ = ρ form a semigroup with an infinitesimal generator which is approximately the square root of the Laplacian. This paper studies the analogous situation for Brownian motion with a drift , where is small in a suitable scale invariant norm.
On the summability of multiple Fourier series
Maravic, Manojlo (1968)
Portugaliae mathematica
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Ingham type theorems and applications to control theory
Claudio Baiocchi, Vilmos Komornik, Paola Loreti (1999)
Bollettino dell'Unione Matematica Italiana
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Ingham [6] ha migliorato un risultato precedente di Wiener [23] sulle serie di Fourier non armoniche. Modificando la sua funzione di peso noi otteniamo risultati ottimali, migliorando precedenti teoremi di Kahane [9], Castro e Zuazua [3], Jaffard, Tucsnak e Zuazua [7] e di Ullrich [21]. Applichiamo poi questi risultati a problemi di osservabilità simultanea.