Essays about: "Functions of bounded variation"

Found 3 essays containing the words Functions of bounded variation.

  1. 1. Generalized integration operators on Hardy spaces

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Nikolaos Chalmoukis; [2017]
    Keywords : Cesaro operator; Hardy spaces; Integration operators; Operator theory; Complex analysis; Mathematics and Statistics;

    Abstract : Inspired by the study of generalized Cesaro operator T_g introduced by Aleman and Siskakis we study a variation of this operator,namely P(g,a) , depending on an analytic symbol g and an n - tuple of complex numbers, a . Regarding the boundedness properties of this operator we prove that P(g,a) is a bounded linear operator from H^p to itself if and only if g is an analytic function of bounded mean oscillation and compact if and only if g is of vanishing mean oscillation. READ MORE

  3. 2. Generalized Riemann Integration : Killing Two Birds with One Stone?

    University essay from Matematik och tillämpad matematik; Tekniska högskolan

    Author : David Larsson; [2013]
    Keywords : Measure and integration; Special integrals; Henstock-Kurzweil integral; gauge integral; generalized Riemann integral; Denjoy and Perron integrals; Integrals of Riemann; Stieltjes and Lebesgue type; Antidifferentiation; One-variable calculus; Functions of bounded variation; Functions of several variables; Absolute integrability; Convergence theorems;

    Abstract : Since the time of Cauchy, integration theory has in the main been an attempt to regain the Eden of Newton. In that idyllic time [. . . READ MORE

  4. 3. Functions of bounded variation

    University essay from Institutionen för ingenjörsvetenskap, fysik och matematik

    Author : Martin Lind; [2006]
    Keywords : functions of bounded variation; real analysis;

    Abstract : The paper begins with a short survey of monotone functions. The functions of bounded variation are introduced and some basic properties of these functions are given. Finally the jump function of a function of bounded variation is defined. . READ MORE