Modular convergence theorems in fractional Musielak-Orlicz spaces (Q1319040)
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scientific article; zbMATH DE number 549193
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modular convergence theorems in fractional Musielak-Orlicz spaces |
scientific article; zbMATH DE number 549193 |
Statements
Modular convergence theorems in fractional Musielak-Orlicz spaces (English)
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12 April 1994
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Summary: Here we study modular convergence in fractional Musielak-Orlicz spaces for sequences of moment type operators and convolution operators. To obtain the requested convergence properties we give some estimates for the involved operators, using a growth condition on the convex function \(\varphi\) generating the space \(L^{\varphi,\alpha}\). Then the convergence theorems are obtained using a density theorem of Musielak type. For the convolution operators we also consider the line group setting.
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fractional Musielak-Orlicz spaces
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convolution operators
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