Carleson measure and BMO interpolation

1988 ◽  
pp. 362-370
Author(s):  
Bi-yun Yao
Keyword(s):  
Carleson Measure

scholarly journals Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition

2021 ◽  
Author(s):  
Steve Hofmann ◽  
José María Martell ◽  
Svitlana Mayboroda ◽  
Tatiana Toro ◽  
Zihui Zhao
Keyword(s):  
Carleson Measure ◽  
Elliptic Operators ◽  
Uniform Rectifiability

scholarly journals The n-th derivative characterisation of Möbius invariant Dirichlet space

1998 ◽  
Vol 58 (1) ◽  
pp. 43-56 ◽  
Author(s):  
Rauno Aulaskari ◽  
Maria Nowak ◽  
Ruhan Zhao
Keyword(s):  
Carleson Measure ◽  
Bloch Space ◽  
Dirichlet Space ◽  
Function Spaces ◽  
Multiplier Space ◽  
Little Bloch Space ◽  
Special Parameter

In this paper we give the n-th derivative criterion for functions belonging to recently defined function spaces Qp and Qp, 0. For a special parameter value p = 1 this criterion is applied to BMOA and VMOA, and for p > 1 it is applied to the Bloch space and the little Bloch space . Further, a Carleson measure characterisation is given to Qp, and in the last section the multiplier space from Hq into Qp is considered.

Perturbation and Solvability of Initial Lp Dirichlet Problems for Parabolic Equations over Non-cylindrical Domains

2014 ◽  
Vol 66 (2) ◽  
pp. 429-452 ◽  
Author(s):  
Jorge Rivera-Noriega
Keyword(s):  
Dirichlet Problem ◽  
Parabolic Equations ◽  
Elliptic Equations ◽  
Carleson Measure ◽  
Divergence Form ◽  
Second Order ◽  
Linear Operators ◽  
Dirichlet Problems ◽  
Small Perturbations ◽  
Cylindrical Domains

AbstractFor parabolic linear operators L of second order in divergence form, we prove that the solvability of initial Lp Dirichlet problems for the whole range 1 < p < ∞ is preserved under appropriate small perturbations of the coefficients of the operators involved. We also prove that if the coefficients of L satisfy a suitable controlled oscillation in the form of Carleson measure conditions, then for certain values of p > 1, the initial Lp Dirichlet problem associated with Lu = 0 over non-cylindrical domains is solvable. The results are adequate adaptations of the corresponding results for elliptic equations.

scholarly journals Predual ofQKSpaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Jizhen Zhou
Keyword(s):  
Carleson Measure ◽  
Positive Measure ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Necessary And Sufficient

A necessary and sufficient condition is given for a positive measureμon𝔻to be aK-Carleson measure. We give the predual ofQKspaces in terms of this condition.

Sign in / Sign up

Export Citation Format

Share Document