# zbMATH — the first resource for mathematics

## Saka, Koichi

Compute Distance To:
 Author ID: saka.koichi Published as: Saka, Koichi; Saka, Kōichi
 Documents Indexed: 17 Publications since 1978 Reviewing Activity: 259 Reviews

#### Co-Authors

 16 single-authored 1 Takemura, Ryūshō
all top 5

#### Serials

 5 Memoirs of the College of Education. Natural Science 3 Memoirs of the Faculty of Education. Natural Science 2 Proceedings of the Japan Academy. Series A 2 Tohoku Mathematical Journal. Second Series 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Mathematics Reports 1 Proceedings of the American Mathematical Society
all top 5

#### Fields

 8 Abstract harmonic analysis (43-XX) 5 Partial differential equations (35-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Topological groups, Lie groups (22-XX) 3 Differential geometry (53-XX) 2 Operator theory (47-XX) 2 Relativity and gravitational theory (83-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX)

#### Citations contained in zbMATH Open

7 Publications have been cited 47 times in 42 Documents Cited by Year
Besov spaces and Sobolev spaces on a nilpotent Lie group. Zbl 0429.43004
Saka, Koichi
1979
The trace theorem for Triebel-Lizorkin spaces and Besov spaces on certain fractal sets. I: The restriction theorem. Zbl 0866.46014
Saka, Koichi
1995
The trace theorem for Triebel-Lizorkin spaces and Besov spaces on certain fractal sets. II: The extension theorem. Zbl 0866.46015
Saka, Koichi
1996
The representation theorem and the $$H^p$$ space theory associated with semigroups on Lie groups. Zbl 0378.46024
Saka, Koichi
1978
Scaling exponents of self-similar functions and wavelet analysis. Zbl 1060.28009
Saka, Koichi
2005
A generalization of Cauchy-Riemann equations on a Riemannian symmetric space and the $$H^p$$ space theory. Zbl 0446.58015
Saka, Koichi
1979
A new generalization of Besov-type and Triebel-Lizorkin-type spaces and wavelets. Zbl 1221.42044
Saka, Koichi
2011
A new generalization of Besov-type and Triebel-Lizorkin-type spaces and wavelets. Zbl 1221.42044
Saka, Koichi
2011
Scaling exponents of self-similar functions and wavelet analysis. Zbl 1060.28009
Saka, Koichi
2005
The trace theorem for Triebel-Lizorkin spaces and Besov spaces on certain fractal sets. II: The extension theorem. Zbl 0866.46015
Saka, Koichi
1996
The trace theorem for Triebel-Lizorkin spaces and Besov spaces on certain fractal sets. I: The restriction theorem. Zbl 0866.46014
Saka, Koichi
1995
Besov spaces and Sobolev spaces on a nilpotent Lie group. Zbl 0429.43004
Saka, Koichi
1979
A generalization of Cauchy-Riemann equations on a Riemannian symmetric space and the $$H^p$$ space theory. Zbl 0446.58015
Saka, Koichi
1979
The representation theorem and the $$H^p$$ space theory associated with semigroups on Lie groups. Zbl 0378.46024
Saka, Koichi
1978
all top 5

#### Cited by 68 Authors

 3 Chamorro, Diego 3 Guliyev, Vagif Sabir 2 Ferrari, Fausto 2 Lemarié-Rieusset, Pierre Gilles 2 Mayeli, Azita 2 Pinamonti, Andrea 2 Ruzhansky, Michael V. 2 Saka, Koichi 2 Saloff-Coste, Laurent 2 Seuret, Stéphane 2 Soto, Tomás 1 Abid, Moez Ben 1 Baldi, Annalisa 1 Bárány, Balázs 1 Bohnke, Georges 1 Brewster, Kevin 1 Brudnyi, Yuri A. 1 Cardona, Duván 1 Chen, Jiecheng 1 Christensen, Jens Gerlach 1 Cortez, Fernando 1 Coulhon, Thierry 1 Ekincioglu, Ismail 1 Eroglu, Ahmet 1 Fang, Jingxuan 1 Fässler, Katrin S. 1 Fischer, Véronique 1 Franchi, Bruno 1 Führ, Hartmut 1 Giulini, Saverio 1 Gupta, Madhu S. 1 He, Jiao 1 Hu, Guorong 1 Huang, Xing 1 Ihnatsyeva, Lizaveta 1 Jarrín, Oscar 1 Kiss, Gergely 1 Kolossváry, István 1 Koskela, Pekka 1 Kreĭn, Selim Grigor’evich 1 Li, Kangwei 1 Maalaoui, Ali 1 Mammadov, Yagub Y. 1 Miller, Kenneth G. 1 Miranda, Michele jun. 1 Mitrea, Dorina 1 Mitrea, Irina 1 Mitrea, Marius 1 Mustafayev, Rza Ch. 1 Ólafsson, Gestur 1 Orponen, Tuomas 1 Pallara, Diego 1 Pansu, Pierre 1 Saksman, Eero 1 Semënov, Evgeniĭ Mikhaĭlovich 1 Serbetci, Ayhan 1 Shapukov, Boris Nikitovich 1 Sire, Yannick 1 Strichartz, Robert S. 1 Sun, Wenchang 1 Triebel, Hans 1 Tyagi, Jagmohan 1 Vähäkangas, Antti V. 1 Vigneron, François 1 Wang, Feng-Yu 1 Wang, Zhuang 1 Yang, Dachun 1 Zhao, Jiman
all top 5

#### Cited in 29 Serials

 5 Journal of Functional Analysis 3 Journal of Mathematical Analysis and Applications 2 Arkiv för Matematik 2 Annales de l’Institut Fourier 2 Journal of Soviet Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Journal of Function Spaces and Applications 1 Nonlinearity 1 Advances in Mathematics 1 Bulletin de la Société Mathématique de France 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Constructive Approximation 1 Journal of Mathematical Sciences (New York) 1 Documenta Mathematica 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Complex Variables and Elliptic Equations 1 Journal of Mathematical Inequalities 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Analysis and Geometry in Metric Spaces
all top 5

#### Cited in 17 Fields

 20 Functional analysis (46-XX) 18 Abstract harmonic analysis (43-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 10 Topological groups, Lie groups (22-XX) 8 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX)