We investigate various G type spaces on Rd+ and their relations with the Gelfand-Shilov S type spaces on R2d through the mapping w : R2d-* Rd+, w(x, & xi;) = (2x21 + 2 & xi;21, ... , 2x2d + 2 & xi;2d). Sufficient conditions for the hypoellipticity of symbols originating from the coordinante radial symbols in G type spaces are also given. Two open problems explained in the introduction are posed.
TY - JOUR
AU - Jakšić, Smiljana
AU - Pilipović, Stevan
PY - 2023
UR - https://omorika.sfb.bg.ac.rs/handle/123456789/1386
AB - We investigate various G type spaces on Rd+ and their relations with the Gelfand-Shilov S type spaces on R2d through the mapping w : R2d-* Rd+, w(x, & xi;) = (2x21 + 2 & xi;21, ... , 2x2d + 2 & xi;2d). Sufficient conditions for the hypoellipticity of symbols originating from the coordinante radial symbols in G type spaces are also given. Two open problems explained in the introduction are posed.
PB - Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš
T2 - Filomat
T1 - ψDOs with radial symbols and spaces of type G
EP - 8763
IS - 26
SP - 8755
VL - 37
DO - 10.2298/FIL2326755J
UR - conv_1718
ER -
@article{
author = "Jakšić, Smiljana and Pilipović, Stevan",
year = "2023",
abstract = "We investigate various G type spaces on Rd+ and their relations with the Gelfand-Shilov S type spaces on R2d through the mapping w : R2d-* Rd+, w(x, & xi;) = (2x21 + 2 & xi;21, ... , 2x2d + 2 & xi;2d). Sufficient conditions for the hypoellipticity of symbols originating from the coordinante radial symbols in G type spaces are also given. Two open problems explained in the introduction are posed.",
publisher = "Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš",
journal = "Filomat",
title = "ψDOs with radial symbols and spaces of type G",
pages = "8763-8755",
number = "26",
volume = "37",
doi = "10.2298/FIL2326755J",
url = "conv_1718"
}
Jakšić, S.,& Pilipović, S.. (2023). ψDOs with radial symbols and spaces of type G. in Filomat
Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš., 37(26), 8755-8763.
https://doi.org/10.2298/FIL2326755J
conv_1718
Jakšić S, Pilipović S. ψDOs with radial symbols and spaces of type G. in Filomat. 2023;37(26):8755-8763.
doi:10.2298/FIL2326755J
conv_1718 .
Jakšić, Smiljana, Pilipović, Stevan, "ψDOs with radial symbols and spaces of type G" in Filomat, 37, no. 26 (2023):8755-8763,
https://doi.org/10.2298/FIL2326755J .,
conv_1718 .
