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Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces
Journal of Mathematical Analysis and Applications, 2021Abstract We establish the mapping properties of the singular integral operators, the Fourier integral operators and the geometric maximal operators on the Orlicz-slice spaces by using extrapolation. By extending the extrapolation theory to the Hardy Orlicz-slice spaces, we also obtain the mapping properties of the maximal Bochner-Riesz means, the ...
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2016
In this chapter, we consider associate spaces L Φ 1 of Orlicz spaces L Φ . Using the Legendre transform of an Orlicz function Φ, we define the conjugate Orlicz function Ψ just as the Legendre transform of Φ. We prove that the spaces L Φ 1 and L Ψ coincide as sets and \(\|\cdot \|_{\mathbf{L}_{\varPsi }} \leq \|\cdot \|_{\mathbf{L}_{\varPhi }^{1}} \leq ...
Genady Grabarnik +3 more
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In this chapter, we consider associate spaces L Φ 1 of Orlicz spaces L Φ . Using the Legendre transform of an Orlicz function Φ, we define the conjugate Orlicz function Ψ just as the Legendre transform of Φ. We prove that the spaces L Φ 1 and L Ψ coincide as sets and \(\|\cdot \|_{\mathbf{L}_{\varPsi }} \leq \|\cdot \|_{\mathbf{L}_{\varPhi }^{1}} \leq ...
Genady Grabarnik +3 more
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2019
In the previous chapter, we investigated properties of Φ-functions. In this chapter, we use them to derive results for function spaces defined by means of Φ-functions.
Petteri Harjulehto, Peter Hästö
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In the previous chapter, we investigated properties of Φ-functions. In this chapter, we use them to derive results for function spaces defined by means of Φ-functions.
Petteri Harjulehto, Peter Hästö
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2021
Now that the key properties of N-functions have been established, we are equipped with a basic toolkit for identifying related Musielak–Orlicz and Musielak–Orlicz–Sobolev spaces. Here we present a study of their properties.
Aneta Wróblewska-Kamińska +3 more
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Now that the key properties of N-functions have been established, we are equipped with a basic toolkit for identifying related Musielak–Orlicz and Musielak–Orlicz–Sobolev spaces. Here we present a study of their properties.
Aneta Wróblewska-Kamińska +3 more
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Mathematica Slovaca, 2016
Abstract Assume that L ψ , L ψ 1 , …, L ψ n are Orlicz spaces.
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Abstract Assume that L ψ , L ψ 1 , …, L ψ n are Orlicz spaces.
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2016
In this chapter, we study embedding of Orlicz spaces in terms of corresponding Orlicz functions. We characterize the class of Orlicz functions corresponding to the same Orlicz space. The Zygmund classes are considered as examples of Orlicz spaces.
Mustafa A. Muratov +3 more
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In this chapter, we study embedding of Orlicz spaces in terms of corresponding Orlicz functions. We characterize the class of Orlicz functions corresponding to the same Orlicz space. The Zygmund classes are considered as examples of Orlicz spaces.
Mustafa A. Muratov +3 more
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Contact with blue-green spaces during the COVID-19 pandemic lockdown beneficial for mental health
Science of the Total Environment, 2021Sarai Pouso, Angel Borja, Lora E Fleming
exaly