Fractional square functions and potential spaces

DOI10.1016/j.jmaa.2011.07.066zbMath1229.42030OpenAlexW1964793400MaRDI QIDQ643553

Jorge J. Betancor, Lourdes Rodríguez-Mesa, Ricardo Testoni, José Luis Torrea, J. Carlos Fariña

Publication date: 2 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.07.066

zbMATH Keywords

fractional derivativesquare functionpotential space

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (8)

On harmonic analysis operators in Laguerre-Dunkl and Laguerre-symmetrized settings ⋮ Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces ⋮ \(\gamma \)-Radonifying operators and UMD-valued Littlewood-Paley-Stein functions in the Hermite setting on BMO and Hardy spaces ⋮ Square functions in the Hermite setting for functions with values in UMD spaces ⋮ On potential spaces related to Jacobi expansions ⋮ Vector valued multivariate spectral multipliers, Littlewood-Paley functions, and Sobolev spaces in the Hermite setting ⋮ The fractional Bessel equation in Hölder spaces ⋮ Discrete harmonic analysis associated with ultraspherical expansions

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