On the superpositions with functions from Gehring's, Muckenhoupt's and related classes |
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| Author |
Odessa National Mechnikov University
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| Abstract |
A necessary and sufficient condition for a monotone external
function such that the superposition with an arbitrary function
from the fixed Gehring class belongs to the fixed Muckenhoupt
class is found. The analogous questions for the limiting cases of
Gehring and Muckenhoupt classes are solved as well.
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| Keywords |
necessary and sufficient condition, monotone external function, superposition, arbitrary function from the fixed Gehring class, fixed Muckenhoupt class
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| DOI |
doi:10.30970/ms.18.1.107-112
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Reference |
1. Johnson R. Changes of variable and ($A_p$) weights // Harmonic Analysis and Partial Differential Equations, Contemp. Math.\ -- 1979.\ --311/312.\ -- P.145--169.
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| Pages |
107-112
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| Volume |
18
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| Issue |
1
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| Year |
2002
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |