Triebel-Lizorkin spaces for Hermite expansions

Jay Epperson

Studia Mathematica (1995)

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

Abstract

top
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.

How to cite

top

Epperson, 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. [1] C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1972), 107-115. Zbl0222.26019
  2. [2] B. Muckenhoupt, Mean convergence of Hermite and Laguerre series II, Trans. Amer. Math. Soc. 147 (1970), 433-460. 
  3. [3] J. Peetre, On spaces of Triebel-Lizorkin type, Ark. Mat. 13 (1975), 123-130. Zbl0302.46021
  4. [4] S. Thangavelu, Lectures on Hermite and Laguerre Expansions, Math. Notes 42, Princeton Univ. Press, 1993. 
  5. [5] H. Triebel, Theory of Function Spaces, Monographs Math. 78, Birkhäuser, Basel, 1983. 
  6. [6] H. Triebel, Theory of Function Spaces II, Monographs Math. 84, Birkhäuser, Basel, 1992. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.