Mutual coverings of cones of monotone functions and estimates of their integral majorants
DOI10.1007/s10958-023-06705-6OpenAlexW4388132045MaRDI QIDQ6197147
Gulden Zhumabekkyzy Karshygina, Elza G. Bakhtigareeva, Mikhail L. Goldman
Publication date: 16 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-023-06705-6
generalized Riesz potentialscones of monotone functionscones of decreasing rearrangements of potentialsintegral majorants on conespointwise and integral coverings
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities for sums, series and integrals (26D15) Special classes of linear operators (47Bxx) Harmonic analysis in several variables (42Bxx)
Cites Work
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- Optimal embeddings of generalized Bessel and Riesz potentials
- Cones of functions with monotonicity conditions for generalized Bessel and Riesz potentials
- Calculations of norms for monotone operators on cones of functions with monotonicity properties
- Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces
- Boundedness of classical operators on classical Lorentz spaces
- On the cones of rearrangements for generalized Bessel and Riesz potentials
- CRITERIA FOR EMBEDDING OF GENERALIZED BESSEL AND RIESZ POTENTIAL SPACES IN REARRANGEMENT INVARIANT SPACES