# Triebel-Lizorkin spaces for Hermite expansions

Studia Mathematica (1995)

- Volume: 114, Issue: 1, page 87-103
- ISSN: 0039-3223

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topEpperson, Jay. "Triebel-Lizorkin spaces for Hermite expansions." Studia Mathematica 114.1 (1995): 87-103. <http://eudml.org/doc/216181>.

@article{Epperson1995,

abstract = {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.},

author = {Epperson, Jay},

journal = {Studia Mathematica},

keywords = {Littlewood-Paley theory; Triebel-Lizorkin spaces; Hermite expansions},

language = {eng},

number = {1},

pages = {87-103},

title = {Triebel-Lizorkin spaces for Hermite expansions},

url = {http://eudml.org/doc/216181},

volume = {114},

year = {1995},

}

TY - JOUR

AU - Epperson, Jay

TI - Triebel-Lizorkin spaces for Hermite expansions

JO - Studia Mathematica

PY - 1995

VL - 114

IS - 1

SP - 87

EP - 103

AB - 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.

LA - eng

KW - Littlewood-Paley theory; Triebel-Lizorkin spaces; Hermite expansions

UR - http://eudml.org/doc/216181

ER -

## References

top- [1] C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1972), 107-115. Zbl0222.26019
- [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. Zbl0302.46021
- [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.

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