Some classical operators on Lorentz space.
Displaying 121 – 140 of 302
Some Coefficient Estimates for Polynomials on the Unit Interval
Qazi, M. A., Rahman, Q. I. (2007)
Serdica Mathematical Journal
2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.In this paper we present some inequalities about the moduli of the coefficients of polynomials of the form f (x) : = еn = 0nan xn, where a0, ј, an О C. They can be seen as generalizations, refinements or analogues of the famous inequality of P. L. Chebyshev, according to which |an| Ј 2n-1 if | еn = 0n an xn | Ј 1 for -1 Ј x Ј 1.
Some counterexamples to subexponential growth of orthogonal polynomials
Marcin Zygmunt (1995)
Studia Mathematica
We give examples of polynomials p(n) orthonormal with respect to a measure μ on ⨍ such that the sequence {p(n,x)} has exponential lower bound for some points x of supp μ. Moreover, the set of such points is dense in the support of μ.
Some discrete representations of -classical linear forms.
Kamech, Olfa Feriel, Merji, Manoubi (2009)
Applied Mathematics E-Notes [electronic only]
Some eigenvalue estimates for wavelet related Toeplitz operators
Krzysztof Nowak (1993)
Colloquium Mathematicae
By a straightforward computation we obtain eigenvalue estimates for Toeplitz operators related to the two standard reproducing formulas of the wavelet theory. Our result extends the estimates for Calderón-Toeplitz operators obtained by Rochberg in [R2]. In the first section we recall two standard reproducing formulas of the wavelet theory, we define Toeplitz operators and discuss some of their properties. The second section contains precise statements of our results and their proofs. At the end...
Some Essential Properties of Q...(...)-Spaces.
Jie Xiao (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Some estimates for commutators of Riesz transform associated with Schrödinger type operators
Yu Liu, Jing Zhang, Jie-Lai Sheng, Li-Juan Wang (2016)
Czechoslovak Mathematical Journal
Let be a Schrödinger operator and let be a Schrödinger type operator on , where is a nonnegative potential belonging to certain reverse Hölder class...
Some exact inequalities of Hardy-Littlewood-Pólya type for periodic functions.
Azar, Laith Emil (2004)
International Journal of Mathematics and Mathematical Sciences
Some footprints of Marcinkiewicz in summability theory
Ferenc Weisz (2011)
Banach Center Publications
Four basic results of Marcinkiewicz are presented in summability theory. We show that setting out from these theorems many mathematicians have reached several nice results for trigonometric, Walsh- and Ciesielski-Fourier series.
Some Fourier transform inversion theorem
W. Kierat (1984)
Studia Mathematica
Some Hardy spaces estimates for multilinear Littlewood-Paley -operators.
Liu, Lanzhe (2003)
Bulletin of TICMI
Some incorrigible functions
D. Garling (1985)
Studia Mathematica
Some inequalities arising from vector-valued Dirac deltas.
M. T. Menárguez, J.L. Torrea (1998)
Mathematica Scandinavica
Some integrability theorems for multiple trigonometric series
Tuo-Yeong Lee (2011)
Mathematica Bohemica
Several new integrability theorems are proved for multiple cosine or sine series.
Some integral and maximal operators related to starlike sets
Sagun Chanillo, David Watson, Richard Wheeden (1993)
Studia Mathematica
We prove two-weight norm estimates for fractional integrals and fractional maximal functions associated with starlike sets in Euclidean space. This is seen to include general positive homogeneous fractional integrals and fractional integrals on product spaces. We consider both weak type and strong type results, and we show that the conditions imposed on the weight functions are fairly sharp.
Some multiplier theorems on the sphere.
R. O. Gandulfo, G. Gigante (2000)
Collectanea Mathematica
The n-dimensional sphere, E, can be seen as the quotient between the group of rotations of R n+1 and the subgroup of all the rotations that fix one point. Using representation theory, one can see that any operator on Lp (Sigma n) that commutes with the action of the group of rotations (called multiplier) may be associated with a sequence of complex numbers. We prove that, if a certain discrete derivative of a given sequence represents a bounded multiplier on LP (E 1), then the given sequence represents...
Some negative results concerning the process of Fejér type trigonometric convolution.
Oniani, G. (1995)
Georgian Mathematical Journal
Some new generalizations of Hardy's integral inequality.
Sunanda, S.K., Nahak, C., Nanda, S. (2006)
International Journal of Mathematics and Mathematical Sciences
Some new generating functions
R. K. Raina (1985)
Matematički Vesnik
Some new Hardy spaces (0 < q ≤ 1)
Dachun Yang (1994)
Studia Mathematica
For 0 < q ≤ 1, the author introduces a new Hardy space on the product domain, and gives its generalized Lusin-area characterization. From this characterization, a φ-transform characterization in M. Frazier and B. Jawerth’s sense is deduced.