scholarly journals The embedding theorem for finite depth subfactor planar algebras

10.4171/qt/23 ◽  
2011 ◽  
pp. 301-337 ◽  
Author(s):  
Vaughan Jones ◽  
David Penneys
Keyword(s):  
Finite Depth ◽  
Embedding Theorem ◽  
Planar Algebras

Generators for finite depth subfactor planar algebras

2016 ◽  
Vol 126 (2) ◽  
pp. 235-240 ◽  
Author(s):  
VIJAY KODIYALAM ◽  
SRIKANTH TUPURANI
Keyword(s):  
Finite Depth ◽  
Planar Algebras

scholarly journals Universal skein theory for finite depth subfactor planar algebras

10.4171/qt/17 ◽  
2011 ◽  
pp. 157-172 ◽  
Author(s):  
Vijay Kodiyalam ◽  
Srikanth Tupurani
Keyword(s):  
Finite Depth ◽  
Planar Algebras ◽  
Skein Theory

scholarly journals Drinfeld center of planar algebra

2014 ◽  
Vol 25 (08) ◽  
pp. 1450076 ◽  
Author(s):  
Paramita Das ◽  
Shamindra Kumar Ghosh ◽  
Ved Prakash Gupta
Keyword(s):  
Finite Depth ◽  
Planar Algebras ◽  
Planar Algebra ◽  
Affine Representations ◽  
Finiteness Criterion

We introduce fusion, contragradient and braiding of Hilbert affine representations of a subfactor planar algebra P (not necessarily having finite depth). We prove that if N ⊂ M is a subfactor realization of P, then the Drinfeld center of the N–N-bimodule category generated byNL2(M)M, is equivalent to the category of Hilbert affine representations of P satisfying certain finiteness criterion. As a consequence, we prove Kevin Walker's conjecture for planar algebras.

Source Term Balance for Finite Depth Wind Waves

2000 ◽  
Author(s):  
Ian R. Young ◽  
Michael L. Banner ◽  
Mark M. Donelan
Keyword(s):  
Source Term ◽  
Wind Waves ◽  
Finite Depth

scholarly journals Embedding Theorems and Area Operators on Bergman Spaces with Doubling Measure

2021 ◽  
Vol 15 (3) ◽  
Author(s):  
Changbao Pang ◽  
Antti Perälä ◽  
Maofa Wang
Keyword(s):  
Borel Measure ◽  
Bergman Spaces ◽  
Embedding Theorem ◽  
Weighted Bergman Spaces ◽  
Embedding Theorems ◽  
Positive Borel Measure ◽  
Doubling Property ◽  
Area Operator ◽  
Special Cases ◽  
Upper Half Plane

AbstractWe establish an embedding theorem for the weighted Bergman spaces induced by a positive Borel measure $$d\omega (y)dx$$ d ω ( y ) d x with the doubling property $$\omega (0,2t)\le C\omega (0,t)$$ ω ( 0 , 2 t ) ≤ C ω ( 0 , t ) . The characterization is given in terms of Carleson squares on the upper half-plane. As special cases, our result covers the standard weights and logarithmic weights. As an application, we also establish the boundedness of the area operator.

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