On a problem of Littlewood.
Displaying 21 – 40 of 231
On a property of the Fourier transform.
Karl Karlander (1997)
Mathematica Scandinavica
On a sum of Vinogradov
J. C. Peral (1990)
Colloquium Mathematicae
On a Theorem of Ingham.
S. Jaffard, M. Tucsnak, E. Zuazua (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
On a theorem of Kłosowska about generalised convolutions
N. H. Bingham (1984)
Colloquium Mathematicae
On a theorem of Saeki concerning convolution squares of singular measures
Thomas Körner (2008)
Bulletin de la Société Mathématique de France
If , then there exists a probability measure such that the Hausdorff dimension of the support of is and is a Lipschitz function of class .
On a weak type (1,1) inequality for a maximal conjugate function
Nakhlé Asmar, Stephen Montgomery-Smith (1997)
Studia Mathematica
In their celebrated paper [3], Burkholder, Gundy, and Silverstein used Brownian motion to derive a maximal function characterization of spaces for 0 < p < ∞. In the present paper, we show that the methods in [3] extend to higher dimensions and yield a dimension-free weak type (1,1) estimate for a conjugate function on the N-dimensional torus.
On Abel summability of multiple Jacobi series
Luis A. Caffarelli, Calixto P. Calderón (1974)
Colloquium Mathematicae
On almost summability of conjugate Fourier series.
Lal, Shyam, Nigam, Hare Krishna (2001)
International Journal of Mathematics and Mathematical Sciences
On almost periodicity defined via non-absolutely convergent integrals
Dariusz Bugajewski, Adam Nawrocki (2025)
Czechoslovak Mathematical Journal
We investigate some properties of the normed space of almost periodic functions which are defined via the Denjoy-Perron (or equivalently, Henstock-Kurzweil) integral. In particular, we prove that this space is barrelled while it is not complete. We also prove that a linear differential equation with the non-homogenous term being an almost periodic function of such type, possesses a solution in the class under consideration.
On an extrapolation theorem of Carleson-Sjölin type with applications to a.e. convergence of Fourier series
Fernando Soria (1989)
Studia Mathematica
On an infinite linear combination of partial sums of Fourier series
Rajendra Sinha (1976)
Studia Mathematica
On approximation of functions by generalized Abel--Poisson operators.
Falaleev, L.P. (2001)
Sibirskij Matematicheskij Zhurnal
On approximation of locally compact groups by finite algebraic systems.
Glebsky, L.Yu., Gordon, E.I. (2004)
Electronic Research Announcements of the American Mathematical Society [electronic only]
On Baica's trigonometric identity.
Gregorac, R.J. (1989)
International Journal of Mathematics and Mathematical Sciences
On belonging of trigonometric series to Orlicz space.
Tikhonov, S. (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
On Bernstein's Inequality and Kahane's Ultraflat Polynomials.
Hervé Queffelec, Bahaman Saffari (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
On Besov-Hardy-Sobolev spaces of analytic functions in the unit disc
Patrick Oswald (1983)
Czechoslovak Mathematical Journal
On bilinear Littlewood-Paley square functions.
Michael T. Lacey (1996)
Publicacions Matemàtiques
On the real line, let the Fourier transform of kn be k'n(ξ) = k'(ξ-n) where k'(ξ) is a smooth compactly supported function. Consider the bilinear operators Sn(f, g)(x) = ∫ f(x+y)g(x-y)kn(y) dy. If 2 ≤ p, q ≤ ∞, with 1/p + 1/q = 1/2, I prove thatΣ∞n=-∞ ||Sn(f,g)||22 ≤ C2||f||p2||g||q2.The constant C depends only upon k.
On Billard's Theorem for Random Fourier Series
Guy Cohen, Christophe Cuny (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
We show that Billard's theorem on a.s. uniform convergence of random Fourier series with independent symmetric coefficients is not true when the coefficients are only assumed to be centered independent. We give some necessary or sufficient conditions to ensure the validity of Billard's theorem in the centered case.