Entropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators I

1994 ◽  
Vol 167 (1) ◽  
pp. 131-156 ◽  
Author(s):  
Dorothee Haroske ◽  
Hans Triebel
Keyword(s):  
Pseudodifferential Operators ◽  
Function Spaces ◽  
Entropy Numbers ◽  
Weighted Function ◽  
Weighted Function Spaces

Wavelet bases and entropy numbers in weighted function spaces

2005 ◽  
Vol 278 (1-2) ◽  
pp. 108-132 ◽  
Author(s):  
Dorothee D. Haroske ◽  
Hans Triebel
Keyword(s):  
Function Spaces ◽  
Entropy Numbers ◽  
Wavelet Bases ◽  
Weighted Function ◽  
Weighted Function Spaces

scholarly journals Linear Differential Equations on Some Classes of Weighted Function Spaces

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1113
Author(s):  
Ahmed El-Sayed Ahmed ◽  
Amnah E. Shammaky
Keyword(s):  
Specific Growth ◽  
Function Spaces ◽  
Entire Solutions ◽  
Linear Type ◽  
Weighted Function ◽  
Weighted Function Spaces ◽  
Type Classes ◽  
Type Differential Equation ◽  
Linear Differential ◽  
Weighted Type

Some weighted-type classes of holomorphic function spaces were introduced in the current study. Moreover, as an application of the new defined classes, the specific growth of certain entire-solutions of a linear-type differential equation by the use of concerned coefficients of certain analytic-type functions, that is the equation h(k)+Kk−1(υ)h(k−1)+…+K1(υ)h′+K0(υ)h=0, will be discussed in this current research, whereas the considered coefficients K0(υ),…,Kk−1(υ) are holomorphic in the disc ΓR={υ∈C:|υ|<R},0<R≤∞. In addition, some non-trivial specific examples are illustrated to clear the roles of the obtained results with some sharpness sense. Hence, the obtained results are strengthen to some previous interesting results from the literature.

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