Abstract
In this paper, we prove the fractional Hardy inequality on polarisable metric measure spaces.
The integral Hardy inequality for
Funding source: Fonds Wetenschappelijk Onderzoek
Award Identifier / Grant number: G.0H94.18N
Funding source: Universiteit Gent
Award Identifier / Grant number: 01M01021
Funding source: Engineering and Physical Sciences Research Council
Award Identifier / Grant number: EP/R003025/2
Award Identifier / Grant number: EP/V005529/1
Funding source: Ministry of Education and Science of the Republic of Kazakhstan
Award Identifier / Grant number: AP23484106
Funding statement: A. Kassymov and M. Ruzhansky are supported by the FWO Odysseus 1 grant G.0H94.18N: Analysis and Partial Differential Equations and by the Methusalem programme of the Ghent University Special Research Fund (BOF) (Grant number 01M01021). M. Ruzhansky is also supported by EPSRC grants EP/R003025/2 and EP/V005529/1. A. Kassymov and G. Zaur are supported by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan (Grant No. AP23484106).
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Communicated by: Maria Gordina
References
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Articles in the same Issue
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- Rational points on a class of cubic hypersurfaces
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- Discrete Ω-results for the Riemann zeta function
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- Hausdorff dimension of removable sets for elliptic and canceling homogeneous differential operators in the class of bounded functions
- Statistics of ranks, determinants and characteristic polynomials of rational matrices
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Articles in the same Issue
- Frontmatter
- Rational points on a class of cubic hypersurfaces
- On fractional inequalities on metric measure spaces with polar decomposition
- Quantitative weighted estimates for the multilinear pseudo-differential operators in function spaces
- The 𝐿𝑝 restriction bounds for Neumann data on surface
- Quasi-triangular, factorizable Leibniz bialgebras and relative Rota–Baxter operators
- Big pure projective modules over commutative noetherian rings: Comparison with the completion
- Any Sasakian structure is approximated by embeddings into spheres
- GIT quotient of holomorphic foliations on ℂℙ2 of degree 2 and quartic plane curves
- The stable category of monomorphisms between (Gorenstein) projective modules with applications
- Gradings and graded linear maps on algebras
- A note on conjugacy of supplements in soluble periodic linear groups
- Discrete Ω-results for the Riemann zeta function
- Is addition definable from multiplication and successor?
- Hausdorff dimension of removable sets for elliptic and canceling homogeneous differential operators in the class of bounded functions
- Statistics of ranks, determinants and characteristic polynomials of rational matrices
- Controllability and diffeomorphism groups on manifolds with boundary