The conductivity of checkerboards treated by conjugate functions

1990 ◽  
Vol 9 (2) ◽  
pp. 129-133 ◽  
Author(s):  
R. J. Duffin
Keyword(s):  
Conjugate Functions

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.

Hermite Conjugate Functions and Rearrangement Invariant Spaces

1973 ◽  
Vol 16 (3) ◽  
pp. 377-380 ◽  
Author(s):  
Kenneth F. Andersen
Keyword(s):  
Weak Type ◽  
Conjugate Function ◽  
Poisson Integral ◽  
Conjugate Functions ◽  
Rearrangement Invariant Spaces ◽  
Image Position ◽  
Invariant Spaces

The Hermite conjugate Poisson integral of a given f ∊ L1(μ), dμ(y)= exp(—y2) dy, was defined by Muckenhoupt [5, p. 247] aswhereIf the Hermite conjugate function operator T is defined by (Tf) a.e., then one of the main results of [5] is that T is of weak-type (1, 1) and strongtype (p,p) for all p>l.

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