Sentence examples for square function from inspiring English sources
For example, "*:" is the square function, so its obverse "*:^:_1" is "%:", the square root function.
We prove the sharp L3 bounds for the cone multiplier in R3 and the associated square function, which is known as Mockenhauptʼs square function.
To obtain this we make use of certain weighted square function estimates.
Second, we prove a square function bound for a single scale directional operator.
We discuss the sharpness of our bounds and show that single square function estimates yield b="O(|logε|).
It was found that the logarithm of current density (and consequently, oxide growth rate) is a square function of the anodizing voltage.
Our main tools are appropriately defined square functions and the Littlewood Paley Stein theory.
Operations of most interest included by the Gaussian potential function are the exponential and the square functions.
Finally, authors give the (H1L,L1) boundedness of Riesz transforms, square functions and maximal functions associated with L.
Also Huang and Liu [20] studied the boundedness of intrinsic square functions on weighted Hardy spaces.
In [8], Wilson showed the following weighted (L^{p}) boundedness of the intrinsic square functions.
