Connection Between Weighted Tail, Orlicz, Grand Lorentz And Grand Lebesgue Norms
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DOI: 10.1007/s00025-024-02136-0
Abstract: We prove that the norm of functions in a suitable Grand Lorentz space built on a measure space, equipped with sigma finite diffuse measure, coincides with the norm in a suitable exponential Grand Lebesgue Space… read more here.
Keywords: grand lorentz; grand lebesgue; tail; space ... See more keywords
A note on the continuity of minors in grand Lebesgue spaces
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DOI: 10.1007/s11784-019-0686-y
Abstract: We present a simple proof of the continuity, in the sense distributions, of the minors of the differential matrices of mappings belonging to grand Sobolev spaces. Such function spaces were introduced in connection with a… read more here.
Keywords: continuity; continuity minors; note continuity; minors grand ... See more keywords
Extrapolation in Grand Lebesgue Spaces with A∞ Weights
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DOI: 10.1134/s0001434618090195
Abstract: Results on extrapolation withA∞ weights in grand Lebesgue spaces are obtained. Generally, these spaces are defined with respect to the productmeasure μ1 ×· · ·×μn onX1 ×· · ·×Xn, where (Xi, di, μi), i =… read more here.
Keywords: extrapolation grand; lebesgue spaces; spaces weights; grand lebesgue ... See more keywords
Korovkin-type theorems and their statistical versions in grand Lebesgue spaces
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DOI: 10.3906/mat-2003-21
Abstract: The analogs of Korovkin theorems in grand-Lebesgue spaces are proved. The subspace G p −π; π of grand Lebesgue space is defined using shift operator. It is shown that the space of infinitely differentiable finite… read more here.
Keywords: lebesgue spaces; korovkin type; grand lebesgue; lebesgue ... See more keywords