Zygmund , Singular integrals and periodic functions. Studia Math. 14 (1954), 249–271. MathSciNetCalderon A P,Zygmund A.Singular integrals and Periodic functions. Studia Mathematica . 1954A. Calder´on and A. Zygmund. Singular integrals and periodic functions. Studia Mathematica, 2(14):249-...
Applications to Singular Integrals Abstract In the preceding chapter, using intermediate space theory, we presented a general theory concerning the subspaceXα, r; q(0 <α < r1 ≦q ≦∞ and/orα=r, q= ∞;r =1, 2, . . .) of a Banach spaceX, generated by a uniformly bounded semi-...
Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group The theory of mean periodic functions is a subject which goes back to works of Littlewood, Delsarte, John and that has undergone a vigorous development in recent years. There has been much progress in a nu...
Vallée Poussin, respectively. The systematic investigation of singular integrals was begun by H. Lebesgue in 1909. Singular integrals attracted attention in connection with the problem of representing and approximating functions of various classes by simpler functions, such as smooth functions and ...
most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential ... EM Stein - Princeton University Press 被引量: 210发表: 1986年 Fourier frequencies in affine iterated function systems We examine two questions re...
Cauchy problem for parabolic systems with convolution operators in periodic spaces 热度: App1.Math.J.ChineseUniv 2010,25(3):349—358 Boundarypropertiesforseveralsingularintegral operatorsinrealClifordanalysis YANGHe—ju, XIEYong—hong Abstract.OnthebasisoftheCauchyintegralformulasforregularandbiregularfuncti...
In this paper, we study the boundedness of the commutators of some singular integrals associated to L such as the Riesz transforms and fractional integrals with the new BMO functions introduced in Bongioanni et al. (2011) [1] on the weighted spaces Lp(w) where w belongs to the new ...
We discuss the notion of excitability in 2D slow/fast neural models from a geometric singular perturbation theory point of view. We focus on the inherent singular nature of slow/fast neural models and define excitability via singular bifurcations. In par
Serbetci [1, 3-5] have studied the boundedness of B-singular integrals in weighted Lp-spaces with radial and general weights consequently. The structure of the paper is as follows. In section 2, we present some definitions and auxiliary results. In section 3 we prove the boundedness of ...
Since \{q_n\}\subset {\mathcal {K}}_\Lambda is bounded in C([0, T], \mathbb {R}) and W is bounded, the first and second integrals of \begin{aligned} {\mathcal {I}} (q_n)= \int _0^T[1-\sqrt{1-|q_n'|^2} ]{\textrm{d}}t + \int _0^T W(t,q_n)\cdot {\...