This book is a result of our ten-year fruitful collaboration. It deals with integral operators of
harmonic analysis and their various applications in new, non-standard function spaces …

Title: Morrey spaces: introduction and applications to integral operators and PDE's/Yoshihiro
Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. Description: First edition.| Boca Raton …

Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with
smooth boundary, are not only of considerable intrinsic interest but have for many years …

Vladimir I. Bogachev Oleg G. Smolyanov Page 1 Moscow Lectures 4 Real and Functional
Analysis Vladimir I. Bogachev Oleg G. Smolyanov Page 2 Moscow Lectures Volume 4 Series …

In the present investigation, our aim is to define a generalized subclass of analytic and
biunivalent functions associated with a certain q-integral operator in the open unit disk U …

Given input–output pairs of an elliptic partial differential equation (PDE) in three dimensions,
we derive the first theoretically rigorous scheme for learning the associated Green's function …

We review recent advances in algorithms for quadrature, transforms, differential equations
and singular integral equations using orthogonal polynomials. Quadrature based on …

In this paper the boundedness of Hardy-Littlewood maximal and singular operators in
variable exponent Morrey spaces $ M^{p (\cdot)} _ {q (\cdot)}(X) $ defined on spaces of …

We introduce grand Morrey spaces and establish the boundedness of Hardy–Littlewood
maximal, Calderón–Zygmund and potential operators in these spaces. In our case the …

A Hardy type inequality for Reproducing Kernel Hilbert Space operators is proved. It is well
known (see Halmos in A Hilbert space problem book. Springer, Berlin, 1982) the following …