Transplantation and multiplier theorems for Fourier-Bessel expansions

DOI10.1090/S0002-9947-06-03885-2zbMath1130.42029OpenAlexW1506308456MaRDI QIDQ5473447

Óscar Ciaurri, Krzystztof Stempak

Publication date: 21 June 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-03885-2

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integral transforms of special functions (44A20)

Related Items

Fourier-Bessel heat kernel estimates ⋮ Hardy spaces for Fourier-Bessel expansions ⋮ Jacobi transplantation revisited ⋮ Potential operators associated with Jacobi and Fourier-Bessel expansions ⋮ On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting ⋮ Landau's necessary density conditions for the Hankel transform ⋮ Transferring boundedness from conjugate operators associated with Jacobi, Laguerre, and Fourier-Bessel expansions to conjugate operators in the Hankel setting ⋮ Higher order Riesz transforms for Fourier-Bessel expansions ⋮ Littlewood-Paley-Stein \(g_k\)-functions for Fourier-Bessel expansions ⋮ Transplantation theorems -- a survey ⋮ On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions ⋮ Variation operators for semigroups associated with Fourier-Bessel expansions ⋮ Weighted transplantation for Fourier-Bessel series ⋮ Sharp estimates of transition probability density for Bessel process in half-line

Cites Work

• On connections between Hankel, Laguerre and Jacobi transplantations.
• Transplantation theorems and multiplier theorems for Jacobi series
• Sufficiency Conditions for L p Multipliers With Power Weights
• Two Notes on Convergence and Divergence A.E. of Fourier Series with Respect to Some Orthogonal Systems
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Maximal Theorems for Some Orthogonal Series. I
• Relating multipliers and transplantation for Fourier-Bessel expansions and Hankel transform
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