Alexandre, William

We give a condition under which a divisor X in a bounded convex domain of finite type D in C^n is the zero set of a function in a Hardy space H^p(D) for some p > 0. This generalizes Varopoulos' result [Zero sets of H^p functions in several complex variables, Pac. J. Math. (1980)] on zero sets of H^p-functions in strictly convex domains of C^n .

Boulkhemair, A. Chakib, A. Sadik, A

In this work, we consider again the shape derivative formula for a volume cost functional which we studied in preceding papers where we used the Minkowski deformation and the support functions in the convex setting. Here, we extend it to some non convex domains, namely the star-shaped ones. The formula also happens to be an extension of a well know...

Ha, L. K. An, T. K.
Published in
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)

AbstractIn this paper, we investigate \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{p}$$\end{document} estimates (\documentclass[12pt]{minimal} \usepackage{amsmath...

Igarashi, Takako Nakamura, Koichi
Published in
Journal of oleo science

Softening agents, when applied in appropriate amounts, can impart softness to fabrics, particularly cotton towels, such that improved comfort and feel can be achieved when using the fabrics. On the other hand, water absorbency, which is commonly regarded as the mark of high-quality cotton products, significantly decreases when any of the currently ...

Krivosheeva, O. A. Krivosheev, A. S.
Published in
Russian Mathematics

In this paper, series of exponential monomials are considered. We study conditions on sequences of indices such that the existence domains of the sum of these series coincide with their convergence domains.

Makarov, R. V. Nasibullin, R. G. Shaymardanova, G. R.
Published in
Lobachevskii Journal of Mathematics

AbstractThis paper is devoted to weighted Hardy type inequalities. Using the Bessel functions, we prove one-dimensional inequalities and give some remarks on extensions of the one-dimensional inequalities to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepac...

Avkhadiev, F. G.
Published in
Russian Mathematics

For an open subset of the Euclidean space of dimension n we consider interior and exterior approximations by sequences of open sets. We prove convergence everywhere of the corresponding sequences of distance functions from boundary as well as convergence almost everywhere for their gradients. As applications we obtain several new Hardy-type inequal...

Xie, Bin

"Stochastic Analysis on Large Scale Interacting Systems". November 5-8, 2018. edited by Ryoki Fukushima, Tadahisa Funaki, Yukio Nagahata, Hirofumi Osada and Kenkichi Tsunoda. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. / In this note, the ergodic properties of the Markov semigroup associated with t...

Krivosheev, A. Krivosheeva, O.
Published in
Lobachevskii Journal of Mathematics

In this paper lower bounds for entire functions of exponential type and regular growth, zero sets of which have zero condensation indices, are obtained. In this case, the exceptional set consists of pairwise disjoint disks centered at zeroes. Sufficient conditions for radii of these circles are indicated. We also obtain a result on representation o...

Boulkhemair, A. Chakib, A. Nachaoui, A. Niftiyev, A Sadik, A

This paper is devoted to a numerical method for the approximation of a class of free boundary problems of Bernoulli's type, reformulated as optimal shape design problems with appropriate shape functionals. We show the existence of the shape derivative of the cost functional on a class of admissible domains and compute its shape derivative by using ...