Triebel-Lizorkin spaces for Hermite expansions

• Autorzy: Jay Epperson
• Języki publikacji: EN

Abstrakty

EN

This paper develops some Littlewood-Paley theory for Hermite expansions. The main result is that certain analogues of Triebel-Lizorkin spaces are well-defined in the context of Hermite expansions.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory
• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 114
• Numer: 1
• Strony: 87-103

Daty

wydano

1995

otrzymano

1994-06-29

poprawiono

1995-01-03

Twórcy

autor

Jay Epperson

• Department of Mathematics, University of New Mexico, Albuquerque, New Mexico 87131, U.S.A.

Bibliografia

• [1] C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1972), 107-115.
• [2] B. Muckenhoupt, Mean convergence of Hermite and Laguerre series II, Trans. Amer. Math. Soc. 147 (1970), 433-460.
• [3] J. Peetre, On spaces of Triebel-Lizorkin type, Ark. Mat. 13 (1975), 123-130.
• [4] S. Thangavelu, Lectures on Hermite and Laguerre Expansions, Math. Notes 42, Princeton Univ. Press, 1993.
• [5] H. Triebel, Theory of Function Spaces, Monographs Math. 78, Birkhäuser, Basel, 1983.
• [6] H. Triebel, Theory of Function Spaces II, Monographs Math. 84, Birkhäuser, Basel, 1992.