TWO-SIDED AND ONE-SIDED INVERTIBILITY OF WIENER-TYPE FUNCTIONAL OPERATORS WITH A SHIFT AND SLOWLY OSCILLATING DATA

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FERNANDEZ TORRES GUSTAVO; KARLOVICH YURI

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Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2017 | Volume:11 | Issue:3 Page(s): 554-590

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Title

TWO-SIDED AND ONE-SIDED INVERTIBILITY OF WIENER-TYPE FUNCTIONAL OPERATORS WITH A SHIFT AND SLOWLY OSCILLATING DATA

Author(s)

FERNANDEZ TORRES GUSTAVO | KARLOVICH YURI | Issue Writer Certificate

Keywords

WIENER-TYPE ALGEBRA

FUNCTIONAL OPERATOR

INVERTIBILITY

SHIFT

SLOW OSCILLATION

Abstract

Let a be an orientation-preserving homeomorphism of [0,¥] onto itself with only two fixed points at 00 and ∞∞, whose restriction to R+=(0, ¥) is a diffeomorphism, and let UαUα be the isometric SHIFT operator acting on the Lebesgue space Lp(R+) with p∈[1,∞] by the rule Uaf=( a')1/p(foa)U a f=( a ')1/p(foa). We establish criteria of the two-sided and one-sided INVERTIBILITY of FUNCTIONAL OPERATORs of the form...

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APA: Copy

FERNANDEZ TORRES, GUSTAVO, & KARLOVICH, YURI. (2017). TWO-SIDED AND ONE-SIDED INVERTIBILITY OF WIENER-TYPE FUNCTIONAL OPERATORS WITH A SHIFT AND SLOWLY OSCILLATING DATA. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 11(3), 554-590. SID. https://sid.ir/paper/317089/en

Vancouver: Copy

FERNANDEZ TORRES GUSTAVO, KARLOVICH YURI. TWO-SIDED AND ONE-SIDED INVERTIBILITY OF WIENER-TYPE FUNCTIONAL OPERATORS WITH A SHIFT AND SLOWLY OSCILLATING DATA. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2017;11(3):554-590. Available from: https://sid.ir/paper/317089/en

IEEE: Copy

GUSTAVO FERNANDEZ TORRES, and YURI KARLOVICH, “TWO-SIDED AND ONE-SIDED INVERTIBILITY OF WIENER-TYPE FUNCTIONAL OPERATORS WITH A SHIFT AND SLOWLY OSCILLATING DATA,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 11, no. 3, pp. 554–590, 2017, [Online]. Available: https://sid.ir/paper/317089/en

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