We prove L^ p L p-bounds for the bilinear Hilbert transform acting on functions valued in
intermediate UMD spaces. Such bounds were previously unknown for UMD spaces that are …

We prove a range of L p bounds for singular Brascamp–Lieb forms with cubical structure.
We pass through sparse and local bounds, the latter proved by an iteration of Fourier …

We demonstrate and develop dyadic–probabilistic methods in connection with non-
homogeneous bilinear operators, namely singular integrals and square functions. We …

The theory of L p spaces for outer measures, or outer L p spaces, was introduced by Do and
Thiele. Their main interest was its application to the study of the boundedness properties of …

We demonstrate and develop dyadic-probabilistic methods in connection with non-
homogeneous bilinear operators, namely singular integrals and square functions. We …

We study the double iterated outer $ L^ p $ spaces, namely the outer $ L^ p $ spaces
associated with three exponents and defined on sets endowed with a measure and two …

Our setup is a natural class of operators T, which we think of as general (not necessarily of
tensor product or convolution type) bilinear bi-parameter singular integrals on the product …

Let $(X, d,\mu) $ be a space of homogeneous type in the sense of Coifman and and Weiss.
In this setting, the author proves that a bilinear Calderon-Zygmund operator is bounded from …

The first three results in this thesis are motivated by a far-reaching conjecture on
boundedness of singular Brascamp-Lieb forms. Firstly, we improve over the trivial estimate …

We study the outer L^ p L p spaces introduced by Do and Thiele on sets endowed with a
measure and an outer measure. We prove that, in the case of finite sets, for 1< p\leqslant ∞ …