1st Edition
Inequalities and Integral Operators in Function Spaces
Foreword Preface 1 Inequalities related to permutations of functions 2 Multiparameter interpolation method 3 Interpolation method for spaces with mixed metric 4 Interpolation theorems for integral operators 5 Nikolsky’s inequalities 6 Remez inequalities 7 Hardy-Littlewood inequalities for trigonometric series 8 Stein inequalities for the Fourier transform 9 Net spaces and Nursultanov inequalities 10 Weighted norm inequalities for Fourier transforms 11 O’Neil inequalities 12 Weighted norm inequalities for convolution and Riesz potential13 O’Neil inequalities on Morrey spaces14 Interpolation theorems for nonlinear integral operators Bibliography Index
Biography
Erlan Nursultanov is a Doctor of Physical and Mathematical Sciences and a Professor at the Kazakhstan Branch of Lomonosov Moscow State University. He graduated from the Faculty of Mathematics at Karaganda State University in 1979 and completed his postgraduate studies at the Faculty of Mechanics and Mathematics of Moscow State University in 1982. He received his PhD in Mathematics in 1983 (MSU) and his Doctor of Sciences degree in 1999 from the Steklov Mathematical Institute of the Russian Academy of Sciences. His research interests include harmonic analysis, operator theory, interpolation of function spaces, and approximation theory. He is the author of over 100 scientific publications.
