Results 11 to 20 of about 46 (46)
Rate preservation of double sequences under l‐l type transformation
Following the concepts of divergent rate preservation for ordinary sequences, we present a notion of rates preservation of divergent double sequences under l‐l type transformations. Definitions for Pringsheim limit inferior and superior are also presented.
Richard F. Patterson
wiley +1 more source
Rough Marcinkiewicz integral operators
We study the Marcinkiewicz integral operator M𝒫f(x)=(∫−∞∞|∫|y|≤2tf(x−𝒫(y))(Ω(y)/|y|n−1)dy|2dt/22t)12/, where 𝒫 is a polynomial mapping from ℝn into ℝd and Ω is a homogeneous function of degree zero on ℝn with mean value zero over the unit sphere Sn−1. We prove an Lp boundedness result of M𝒫 for rough Ω.
Hussain Al-Qassem, Ahmad Al-Salman
wiley +1 more source
In this paper we introduce the symmetric Besov-Bessel spaces. Next, we give a Sonine formula for generalized Bessel functions. Finally, we give a characterization of these spaces using the Bochner-Riesz means.
Houissa Khadija, Sifi Mohamed
doaj +1 more source
Local properties of Fourier series
A theorem on local property of |N¯,pn|k summability of factored Fourier series, which generalizes some known results, and also a general theorem concerning the |N¯,pn|k summability factors of Fourier series have been proved.
Hüseyin Bor
wiley +1 more source
Weighted decoupling estimates and the Bochner-Riesz means
We prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary $L^p$ functions for ...
Jongchon Kim
doaj +1 more source
The local geometry of idempotent Schur multipliers
A Schur multiplier is a linear map on matrices which acts on its entries by multiplication with some function, called the symbol. We consider idempotent Schur multipliers, whose symbols are indicator functions of smooth Euclidean domains.
Javier Parcet +2 more
doaj +1 more source
Bernstein Inequality for 1-D Hamiltonians without Resonances [PDF]
[Georgiev Vladimir; Георгиев Владимир]We consider 1-D Laplace operator with short range potential W(x) and prove the Bernstein inequality for this perturbed Laplacian.
Giammetta, Anna Rita, Georgiev, Vladimir
core
LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators [PDF]
Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.We obtain the Lp → Lq - estimates for the fractional acoustic potentials in R^n, which are known to be negative powers of the Helmholtz operator, and some related operators. Some applications
Karasev, Denis +2 more
core
Rough Maximal Oscillatory Singular Integral Operators [PDF]
2000 Mathematics Subject Classification: Primary 42B20; Secondary 42B15, 42B25In this paper, we establish the L^p boundedness of certain maximal oscillatory singular integral operators with rough kernels belonging to certain block spaces.
Al-Salman, Ahmad
core
MSC: 42B15 42B25 42B20 Keywords: Multi-parameter and multi-linear multiplier Coifman-Meyer theorem Hörmander multiplier Minimal smoothness condition Littlewood-Paley's inequality A p weights a b s t r a c t The main purpose of this paper is three ...
Guozhen Lu, Jiao Chen
core

