Estimates for harmonic conjugate functions and Riesz-system

2013 ◽  
Vol 48 (2) ◽  
pp. 69-77
Author(s):  
M. Zakaryan
Keyword(s):  
Conjugate Functions ◽  
Riesz System ◽  
Harmonic Conjugate

scholarly journals On the Exponential Integrability of Conjugate Functions

2021 ◽  
Vol 27 (6) ◽  
Author(s):  
H. Gissy ◽  
S. Miihkinen ◽  
J. A. Virtanen
Keyword(s):  
Conjugate Function ◽  
Conjugate Functions ◽  
Exponential Integrability ◽  
Related Theorem

AbstractWe relate the exponential integrability of the conjugate function $${\tilde{f}}$$ f ~ to the size of the gap in the essential range of f. Our main result complements a related theorem of Zygmund.

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