Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/9645
Title: On Generalized Riesz Type Potential with Lorentz Distance
Authors: Sarıkaya, M. Z.
Yıldırım, H.
Akın, O.
Keywords: Generalized Shift operator
Schwartz space
Diamond Operator
Fourier Bessel Transform
Bessel Operator
Lorentz distance
Publisher: Maik Nauka/Interperiodica/Springer
Abstract: In this article, we defined the Bessel ultra-hyperbolic operator iterated k-times and is defined by square(k)(B) = [B-x1 + B-x2 + ... + B-xp - Bxp+1 - ... - Bxp+q](k), where p+q = n, B-xi = partial derivative(2)/partial derivative x(i)(2) + 2v(i)/x(i) partial derivative/partial derivative x(i), 2v(i) = 2 alpha(i) + 1, alpha(i) > -1/2 [4], x(i) > 0, i = 1,2, ..., n, k is a nonnegative integer and n is the dimension of the R-n(+). Furthermore we have generated the generalized ultra -hyperbolic Riesz potential with Lorentz distance. This potential is generated by the generalized shift operator for functions in Schwartz spaces.
URI: https://doi.org/10.1134/S1995080208010083
https://hdl.handle.net/20.500.11851/9645
ISSN: 1995-0802
1818-9962
Appears in Collections:WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Show full item record



CORE Recommender

SCOPUSTM   
Citations

1
checked on Mar 23, 2024

WEB OF SCIENCETM
Citations

2
checked on Mar 23, 2024

Page view(s)

10
checked on Mar 25, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.