Sharp conditions for the compactness of the Sobolev embedding on Musielak–Orlicz spaces
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DOI: 10.1002/mana.201700462
Abstract: We prove the compactness of the Sobolev embedding for Musielak–Orlicz spaces by way of simple conditions on the Matuszewska index of the underlying space. We provide counterexamples to show the sharpness of our conditions. read more here.
Keywords: sharp conditions; embedding musielak; sobolev embedding; compactness sobolev ... See more keywords
Approximative Characteristics of Modular Orlicz Spaces
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DOI: 10.1007/s10958-019-04285-y
Abstract: We obtain the exact values of the best approximations, basic widths and Kolmogorov widths for some sets of images of multipliers in the modular Orlicz spaces lM: We give a description of the space SM,N… read more here.
Keywords: approximative characteristics; orlicz spaces; characteristics modular; modular orlicz ... See more keywords
Fractional maximal operator in Orlicz spaces
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DOI: 10.1016/j.jmaa.2019.01.034
Abstract: Abstract This work studies the fractional maximal operator acting between Orlicz spaces. The necessary and sufficient conditions for the existence of optimal target and domain spaces are established and the explicit formulas for corresponding optimal… read more here.
Keywords: fractional maximal; orlicz spaces; operator orlicz; maximal operator ... See more keywords
Orlicz spaces equipped with s-norms
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DOI: 10.1016/j.jmaa.2019.123659
Abstract: Abstract On Orlicz spaces of measurable functions, the classical Orlicz and Luxemburg norm can be defined by use of the Amemiya formula: ‖ x ‖ Φ o = inf k > 0 1 k… read more here.
Keywords: spaces equipped; orlicz spaces; function; outer function ... See more keywords
Some characterizations of disjoint topological transitivity on Orlicz spaces
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DOI: 10.1186/s13660-018-1681-3
Abstract: In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive. Based on this, a sufficient… read more here.
Keywords: topological transitivity; characterizations disjoint; transitivity orlicz; orlicz spaces ... See more keywords
Criterion for the Coincidence of Strong and Weak Orlicz Spaces
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DOI: 10.1556/012.2021.58.3.1507
Abstract: We provide necessary and sufficient conditions for the coincidence, up to equivalence of the norms, between strong and weak Orlicz spaces. Roughly speaking, this coincidence holds true only for the so-called exponential spaces. We also… read more here.
Keywords: weak orlicz; strong weak; coincidence; orlicz spaces ... See more keywords
Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
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DOI: 10.3390/axioms12060539
Abstract: In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm. Moreover,… read more here.
Keywords: monotonicity; upper local; musielak orlicz; local uniform ... See more keywords
On Approximation by Linear Combinations of Modified Summation Operators of Integral Type in Orlicz Spaces
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DOI: 10.3390/math7010006
Abstract: In this paper, the authors introduce the Orlicz spaces corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent… read more here.
Keywords: linear combinations; operators integral; summation operators; orlicz spaces ... See more keywords
Analysis of Tempered Fractional Calculus in Hölder and Orlicz Spaces
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DOI: 10.3390/sym14081581
Abstract: Here, we propose a general framework covering a wide variety of fractional operators. We consider integral and differential operators and their role in tempered fractional calculus and study their analytic properties. We investigate tempered fractional… read more here.
Keywords: orlicz spaces; fractional calculus; lder; tempered fractional ... See more keywords