Important result for general orthogonal polynomials in one variable reached J. Korous. He dealt with the boundedness and uniform boundedness of polynomials orthonormal with the weight function where is the weight function of another system of polynomials orthonormal in the same interval and is a certain function. We generalize this result for orthogonal polynomials in two variables multiplying their weight function by a polynomial, dividing a by a polynomial and multiplying with separated variables by a certain function .
@article{256,
title = {Korous type inequalities for orthogonal polynomials in two variables},
journal = {Tatra Mountains Mathematical Publications},
volume = {55},
year = {2013},
doi = {10.2478/tatra.v58i0.256},
language = {EN},
url = {http://dml.mathdoc.fr/item/256}
}
Ftorek, Branislav; Orsansky, Pavol. Korous type inequalities for orthogonal polynomials in two variables. Tatra Mountains Mathematical Publications, Tome 55 (2013) . doi : 10.2478/tatra.v58i0.256. http://gdmltest.u-ga.fr/item/256/