Add to ORKGOur aim is to establish the first two-parameter version of Bourgain's maximal logarithmic inequality on L^2(R^2) for the rational frequencies. We achieve this by introducing a variant of a two-parameter Rademacher–Menschov inequality. The method allows us to control an oscillation seminorm as well
In 2006 Carbery raised a question about an improvement on the naïve norm inequality ∥f+g∥^p_p ≤ 2^(p...
AbstractWe give an inequality which bounds the product of the Lp norms of the linear factors of a po...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
Our aim is to establish the first two-parameter version of Bourgain's maximal logarithmic inequality...
AbstractThe n-linear Bohnenblust–Hille inequality asserts that there is a constant Cn∈[1,∞) such tha...
AbstractIn this paper we prove that the disc is a maximiser of the Schatten p-norm of the logarithmi...
In this paper we study the existence of maximizers for two families of interpolation inequalities, n...
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
The purpose of this short note is to demonstrate how some techniques from additive combinatorics rec...
AbstractWe give an alternative proof of a theorem of Stein and Weiss: The distribution function of t...
AbstractWe study Fourier multipliers which result from modulating jumps of Lévy processes. Using the...
AbstractLet d be a given positive integer and let {Rj}j=1d denote the collection of Riesz transforms...
We study the Bochner-Riesz problem for the twisted Laplacian $\mathcal L$ on $\mathbb R^2$. For $p\i...
In 2006 Carbery raised a question about an improvement on the naïve norm inequality ∥f+g∥^p_p ≤ 2^(p...
In this article, using inequality between logarithmic mean and one-parameter mean, which can be dedu...
In 2006 Carbery raised a question about an improvement on the naïve norm inequality ∥f+g∥^p_p ≤ 2^(p...
AbstractWe give an inequality which bounds the product of the Lp norms of the linear factors of a po...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
Our aim is to establish the first two-parameter version of Bourgain's maximal logarithmic inequality...
AbstractThe n-linear Bohnenblust–Hille inequality asserts that there is a constant Cn∈[1,∞) such tha...
AbstractIn this paper we prove that the disc is a maximiser of the Schatten p-norm of the logarithmi...
In this paper we study the existence of maximizers for two families of interpolation inequalities, n...
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
The purpose of this short note is to demonstrate how some techniques from additive combinatorics rec...
AbstractWe give an alternative proof of a theorem of Stein and Weiss: The distribution function of t...
AbstractWe study Fourier multipliers which result from modulating jumps of Lévy processes. Using the...
AbstractLet d be a given positive integer and let {Rj}j=1d denote the collection of Riesz transforms...
We study the Bochner-Riesz problem for the twisted Laplacian $\mathcal L$ on $\mathbb R^2$. For $p\i...
In 2006 Carbery raised a question about an improvement on the naïve norm inequality ∥f+g∥^p_p ≤ 2^(p...
In this article, using inequality between logarithmic mean and one-parameter mean, which can be dedu...
In 2006 Carbery raised a question about an improvement on the naïve norm inequality ∥f+g∥^p_p ≤ 2^(p...
AbstractWe give an inequality which bounds the product of the Lp norms of the linear factors of a po...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...