Weighted kernel operators in variable exponent amalgam spaces
Vakhtang Kokilashvili,Vakhtang Kokilashvili,Alexander Meskhi,Alexander Meskhi,Muhammad Asad Zaighum +4 more
TL;DR: In this paper, a characterization of a weight v governing the boundedness/compactness of the weighted kernel operators Kv and Kv,d ef ined on R+ and R, respectively, under the log-Holder continuity condition on exponents of spaces is established.
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Abstract: The paper is devoted to weighted inequalities for positive kernel operators in variable exponent amalgam spaces. In particular, a characterization of a weight v governing the boundedness/compactness of the weighted kernel operators Kv and Kv ,d ef ined on R+ and R, respectively, under the log-Holder continuity condition on exponents of spaces is established. These operators involve, for example, weighted variable parameter fractional integrals. The results are new even for constant exponent amalgam spaces. MSC: 46E30; 47B34
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Citations
Pre-Dual of Fofana’s Spaces
Hans G. Feichtinger,Justin Feuto +1 more
- 10 Jun 2019
TL;DR: In this article, the authors characterize the pre-dual of the spaces introduced by I. Fofana on the basis of Wiener amalgam spaces, which have a specific dilation behaviour similar to the spaces L α (R d ).
12
Inverse continuous wavelet transform in weighted variable exponent amalgam spaces
Öznur Kulak,İsmail Aydin +1 more
- 31 Dec 2020
TL;DR: In this paper, the convergence of the inverse continuous wavelet transform in weighted variable exponent amalgam spaces is investigated under some conditions, where the wavelet function satisfies an admissible condition so that the original signal can be reconstructed by the inverse wavelet transformation.
The Kolmogorov-Riesz Theorem and Some Compactness Criterions of Bounded Subsets in Weighted Variable Exponent Amalgam and Sobolev Spaces.
Ismail Aydin,Cihan Unal +1 more
TL;DR: In this paper, totally bounded subsets in weighted variable exponent amalgam and Sobolev spaces were studied and generalized results of compactness criterions in these spaces were presented.
On the boundedness of maximal and potential operators in variable exponent amalgam spaces
TL;DR: In this article, two-weight estimates for maximal and fractional integral operators in variable expo- nent amalgam spaces (L p(·),l q ) are established under the log- Holder continuity condition on the exponent p (·).
The Kolmogorov–Riesz theorem and some compactness criterions of bounded subsets in weighted variable exponent amalgam and Sobolev spaces
Ismail Aydin,Cihan Unal +1 more
TL;DR: In this paper, totally bounded subsets in weighted variable exponent amalgam and Sobolev spaces were studied and generalized results of compactness criterions in these spaces were presented.
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