>
Fa   |   Ar   |   En
   Weak Estimates of Singular Integrals with Variable Kernel and Fractional Differentiation on Morrey-Herz Spaces  
   
نویسنده yang y. ,tao s.
منبع journal of function spaces - 2017 - دوره : 2017 - شماره : 0
چکیده    Let t be the singular integral operator with variable kernel defined by tf(x)=p.v.∫rn(ω(x,x-y)/x-yn)f(y)dy and let dγ (0≤γ≤1) be the fractional differentiation operator. let tand t be the adjoint of t and the pseudoadjoint of t,respectively. in this paper,the authors prove that tdγ-dγt and (t-t)dγ are bounded,respectively,from morrey-herz spaces mkp,1α,(rn) to the weak morrey-herz spaces wmkp,1α,(rn) by using the spherical harmonic decomposition. furthermore,several norm inequalities for the product t1t2 and the pseudoproduct t1°t2 are also given. © 2017 yanqi yang and shuangping tao.
آدرس college of mathematics and statistics,northwest normal university,lanzhou,gansu, China, college of mathematics and statistics,northwest normal university,lanzhou,gansu, China
 
     
   
Authors
  
 
 

Copyright 2023
Islamic World Science Citation Center
All Rights Reserved