\(L^p\) estimates for the Caffarelli-Silvestre extension operators
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Publication:2669923
DOI10.1016/j.jde.2022.01.049OpenAlexW4210429796MaRDI QIDQ2669923
Luigi Negro, Chiara Spina, Metafune, Giorgio
Publication date: 9 March 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.10314
Markov semigroups and applications to diffusion processes (47D07) Degenerate elliptic equations (35J70)
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Cites Work
- Unnamed Item
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- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- Non-uniqueness for second order elliptic operators
- Weighted Hardy spaces
- Sharp kernel estimates for elliptic operators with second-order discontinuous coefficients
- Besov and Triebel-Lizorkin spaces for Schrödinger operators with inverse-square potentials and applications
- Rellich inequalities in bounded domains
- Weighted Calderón-Zygmund and Rellich inequalities in \(L^p\)
- Optimal kernel estimates for elliptic operators with second order discontinuous coefficients
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Spectral Properties of Non-Selfadjoint Extensions of the Calogero Hamiltonian
- Analysis in Banach Spaces
- Two classical properties of the Bessel quotient 𝐼_{𝜈+1}/𝐼_{𝜈} and their implications in pde’s
- Change of Variable Results for A p -and Reverse Holder RH r -Classes
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Analysis in Banach Spaces
- Elliptic and parabolic problems for a class of operators with discontinuous coefficients
- Fractional thoughts
- An Extension Problem Related to the Fractional Laplacian
- Classical Expansions and Their Relation to Conjugate Harmonic Functions