scholarly journals Wavelets and Real Interpolation of Besov Spaces

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2235
Author(s):  
Zhenzhen Lou ◽  
Qixiang Yang ◽  
Jianxun He ◽  
Kaili He
Keyword(s):  
Differential Equations ◽  
Harmonic Analysis ◽  
Besov Space ◽  
Besov Spaces ◽  
Real Interpolation ◽  
Precise Description ◽  
The Real ◽  
Meyer Wavelets

In view of the importance of Besov space in harmonic analysis, differential equations, and other fields, Jaak Peetre proposed to find a precise description of (Bp0s0,q0,Bp1s1,q1)θ,r. In this paper, we come to consider this problem by wavelets. We apply Meyer wavelets to characterize the real interpolation of homogeneous Besov spaces for the crucial index p and obtain a precise description of (B˙p0s,q,B˙p1s,q)θ,r.

Lipschitz and Besov spaces in quantum calculus

2016 ◽  
Vol 19 (03) ◽  
pp. 1650021
Author(s):  
Akram Nemri ◽  
Belgacem Selmi
Keyword(s):  
Harmonic Analysis ◽  
Besov Space ◽  
Besov Spaces ◽  
Time Scale ◽  
Poisson Kernel ◽  
Quantum Calculus ◽  
Weighted Besov Spaces

The purpose of this paper is to investigate the harmonic analysis on the time scale [Formula: see text], [Formula: see text] to introduce [Formula: see text]-weighted Besov spaces subspaces of [Formula: see text] generalizing the classical one. Further, using an example of [Formula: see text]-weighted [Formula: see text] which is introduced and studied. We give a new characterization of the [Formula: see text]-Besov space using [Formula: see text]-Poisson kernel and the [Formula: see text] Littlewood–Paley operator.

Linear Differential Equations in the Real Domain

1967 ◽  
Vol 51 (378) ◽  
pp. 364
Author(s):  
R. P. Gillespie ◽  
Kenneth S. Miller
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
The Real ◽  
Real Domain ◽  
Linear Differential

scholarly journals An integral equation associated with linear homogeneous differential equations

1986 ◽  
Vol 9 (2) ◽  
pp. 405-408 ◽  
Author(s):  
A. K. Bose
Keyword(s):  
Differential Equation ◽  
Integral Equation ◽  
Differential Equations ◽  
Real Line ◽  
Homogeneous Differential Equation ◽  
The Real ◽  
Linear Homogeneous Differential Equation

Associated with each linear homogeneous differential equationy(n)=∑i=0n−1ai(x)y(i)of ordernon the real line, there is an equivalent integral equationf(x)=f(x0)+∫x0xh(u)du+∫x0x[∫x0uGn−1(u,v)a0(v)f(v)dv]duwhich is satisfied by each solutionf(x)of the differential equation.

A new Brézis-Gallouët-Wainger inequality from the viewpoint of the real interpolation functors

2013 ◽  
Vol 287 (2-3) ◽  
pp. 352-358 ◽  
Author(s):  
Yoshihiro Sawano
Keyword(s):  
Real Interpolation ◽  
The Real
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