A choice of Sobolev spaces associated with ultraspherical expansions

DOI10.5565/PUBLMAT_54110_13zbMath1183.42026OpenAlexW2112392045MaRDI QIDQ845064

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

Publication date: 5 February 2010

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1262962142

zbMATH Keywords

Sobolev spacesultraspherical expansions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General harmonic expansions, frames (42C15)

Related Items

Parabolic equations involving Bessel operators and singular integrals ⋮ Sobolev spaces associated with Jacobi expansions ⋮ On potential spaces related to Jacobi expansions ⋮ A Hardy inequality for ultraspherical expansions with an application to the sphere ⋮ Spectral properties of ordinary differential operators admitting special decompositions ⋮ On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions

Cites Work

• Sobolev spaces associated to the harmonic oscillator
• Conjugate expansions for ultraspherical functions
• On regularity of twisted spherical means and special Hermite expansions
• The Hardy-Littlewood maximal function of a Sobolev function
• Higher order Riesz transforms, fractional derivatives, and Sobolev spaces for Laguerre expansions
• A transplantation theorem between ultraspherical series
• A transplantation theorem for ultraspherical coefficients
• Multipliers for Hermite and Laguerre Sobolev spaces
• Jacobi transplantation revisited
• What is a Sobolev space for the Laguerre function systems?
• Transplantation theorems and multiplier theorems for Jacobi series
• Elliptic Partial Differential Equations of Second Order
• REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
• Jacobi conjugate expansions
• Calderón–Zygmund Operators Associated to Ultraspherical Expansions
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Maximal Theorems for Some Orthogonal Series. I
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