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On a general weighted Hardy type inequality in the variable exponent Lebesgue spaces

✍ Scribed by Cruz-Uribe, David; Mamedov, Farman I.


Book ID
111870413
Publisher
Universidad Complutense de Madrid
Year
2011
Tongue
Spanish
Weight
948 KB
Volume
25
Category
Article
ISSN
1139-1138

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Generalized potentials in variable expon
✍ Mubariz G. Hajibayov; Stefan Samko πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 159 KB

We consider generalized potential operators with the kernel a ([ (x ,y )]) [ (x ,y )] N on bounded quasimetric measure space (X, ΞΌ, d) with doubling measure ΞΌ satisfying the upper growth condition ΞΌB(x, r) ≀ Kr N , N ∈ (0, ∞). Under some natural assumptions on a(r) in terms of almost monotonicity w