Pseudodifferential operators in ð¿áµ–(â„â¿)

Ryuichi Ashino ashino@cc.osaka-kyoiku.ac.jp
Michihiro Nagase ashino@cc.osaka-kyoiku.ac.jp
Rémi Vaillancourt remi@uottawa.ca

Downloads

PDF

Abstract

We survey general results on the boundedness of pseudodifferential operators in ð¿áµ–(â„â¿). We mainly consider operators with nonregular symbols which are general versions of Hörmander's class S^m_{ðœŒ,ð›¿}. We treat the theory in a rather classic and elementary manner.

Keywords

pseudodifferential operator , ð¿áµ– boundedness in â„â¿ , nonregular symbols

Ryuichi Ashino Division of Mathematical Sciences, Osaka Kyoiku University Kashiwara, Osaka 582-8582, Japan.
Michihiro Nagase Department of Mathematics Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan.
Rémi Vaillancourt Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada.

Pages: 91–129
Date Published: 2004-10-01
Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal

Similar Articles

Alexander Pankov, Discrete almost periodic operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
George A. Anastassiou, Quantitative Approximation by a Kantorovich-Shilkret quasi-interpolation neural network operator , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
Iris A. López, On the hypercontractive property of the Dunkl-Ornstein-Uhlenbeck semigroup , CUBO, A Mathematical Journal: Vol. 19 No. 2 (2017): CUBO, A Mathematical Journal
Mahdi Zreik, On the approximation of the δ-shell interaction for the 3-D Dirac operator , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
Maja Fosner, Benjamin Marcen, Nejc Sirovnik, On centralizers of standard operator algebras with involution , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
Nejc Sirovnik, On certain functional equation in semiprime rings and standard operator algebras , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
Filippo Cammaroto, Infinitely many solutions for a nonlinear Navier problem involving the \(p\)-biharmonic operator , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
M. Sabet, R. G. Sanati, Topological algebras with subadditive boundedness radius , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
René Erlín Castillo, Héctor Camilo Chaparro, Julio César Ramos-Fernández, \(L_p\)-boundedness of the Laplace transform , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
Youssef N Raffoul, Stability and boundedness in nonlinear and neutral difference equations using new variation of parameters formula and fixed point theory , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)

<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>

You may also start an advanced similarity search for this article.

Downloads

Download data is not yet available.

Published

2004-10-01

How to Cite

[1]

R. Ashino, M. Nagase, and R. Vaillancourt, “Pseudodifferential operators in ð¿áµ–(â„â¿)”, CUBO, vol. 6, no. 3, pp. 91–129, Oct. 2004.

Download Citation

Issue

Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal

Section

Articles

Similar Articles

Alexander Pankov, Discrete almost periodic operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
George A. Anastassiou, Quantitative Approximation by a Kantorovich-Shilkret quasi-interpolation neural network operator , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
Iris A. López, On the hypercontractive property of the Dunkl-Ornstein-Uhlenbeck semigroup , CUBO, A Mathematical Journal: Vol. 19 No. 2 (2017): CUBO, A Mathematical Journal
Mahdi Zreik, On the approximation of the δ-shell interaction for the 3-D Dirac operator , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
Maja Fosner, Benjamin Marcen, Nejc Sirovnik, On centralizers of standard operator algebras with involution , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
Nejc Sirovnik, On certain functional equation in semiprime rings and standard operator algebras , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
Filippo Cammaroto, Infinitely many solutions for a nonlinear Navier problem involving the \(p\)-biharmonic operator , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
M. Sabet, R. G. Sanati, Topological algebras with subadditive boundedness radius , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
René Erlín Castillo, Héctor Camilo Chaparro, Julio César Ramos-Fernández, \(L_p\)-boundedness of the Laplace transform , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
Youssef N Raffoul, Stability and boundedness in nonlinear and neutral difference equations using new variation of parameters formula and fixed point theory , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)

<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>

You may also start an advanced similarity search for this article.