Continuity of Pseudo-differential Operators on Bessel And Besov Spaces

Moussai, Madani. "Continuity of Pseudo-differential Operators on Bessel And Besov Spaces." Serdica Mathematical Journal 27.3 (2001): 249-262. <http://eudml.org/doc/11537>.

@article{Moussai2001,
abstract = {We study the continuity of pseudo-differential operators on Bessel potential spaces Hs|p (Rn ), and on the corresponding Besov spaces B^(s,q)p (R ^n). The modulus of continuity ω we use is assumed to satisfy j≥0, ∑ [ω(2−j )Ω(2j )]2 < ∞ where Ω is a suitable positive function.},
author = {Moussai, Madani},
journal = {Serdica Mathematical Journal},
keywords = {Pseudo-Differential Operators; Bessel and Besov Spaces; pseudo-differential operators; Bessel and Besov spaces; Bessel potential spaces; Hörmander class},
language = {eng},
number = {3},
pages = {249-262},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Continuity of Pseudo-differential Operators on Bessel And Besov Spaces},
url = {http://eudml.org/doc/11537},
volume = {27},
year = {2001},
}

TY - JOUR
AU - Moussai, Madani
TI - Continuity of Pseudo-differential Operators on Bessel And Besov Spaces
JO - Serdica Mathematical Journal
PY - 2001
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 27
IS - 3
SP - 249
EP - 262
AB - We study the continuity of pseudo-differential operators on Bessel potential spaces Hs|p (Rn ), and on the corresponding Besov spaces B^(s,q)p (R ^n). The modulus of continuity ω we use is assumed to satisfy j≥0, ∑ [ω(2−j )Ω(2j )]2 < ∞ where Ω is a suitable positive function.
LA - eng
KW - Pseudo-Differential Operators; Bessel and Besov Spaces; pseudo-differential operators; Bessel and Besov spaces; Bessel potential spaces; Hörmander class
UR - http://eudml.org/doc/11537
ER -