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arxiv: 1608.03317 · v1 · pith:UTZ5V76Qnew · submitted 2016-08-11 · 🧮 math.FA

Sharp value for the norm of composition and multiplicative operators between two different Grand Lebesgue spaces

classification 🧮 math.FA
keywords multiplicativenormcompositiondifferentgrandlebesgueoperatorsspaces
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We calculate in this paper the norm of composition, multiplicative and product operator, generated by multiplicative and measurable argument transformation between two different ordinary Lebesgue-Riesz and Grand Lebesgue spaces. We set ourselves the aim to obtain the exact expression for the norm of the considered operators by means of building of appropriate examples.

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