A Characterization of Absolute Continuity by means of Mellin Integral Operators

作者：Angeloni Laura^*; Vinti Gianluca

来源：Zeitschrift fur Analysis und Ihre Anwendungen, 2015, 34(3): 343-356.

DOI：10.4171/ZAA/1543

• Mellin integral operators
• absolute continuity
• multidimensional variation
• convergence in variation

In the case of classical convolution operators, an important characterization of absolute continuity is given in terms of convergence in variation. In this paper we will study this problem for Mellin integral operators, proving analogous characterizations in the frame of the classical BV-spaces, both in the one-dimensional and in the multidimensional setting.

• 出版日期2015