Journal Article

·2025

The Weighted Grand Lebesgue Class of Harmonic Functions and the Dirichlet Problem

B. T. Bilalov YTU , N. R. Ahmedzade , Z. A. Kasumov

Lobachevskii Journal of Mathematics

Abstract

In this paper, we introduce the weighted grand Lebesgue class $$h_{p);w}$$ of harmonic function in unit ball $$\omega=\left\{z\in C:\,\left|z\right|

Keywords

Mathematics Class (philosophy) Lebesgue integration Dirichlet distribution Pure mathematics Subharmonic function Harmonic Harmonic measure Class number formula Harmonic function Dirichlet series Mathematical analysis

Subject Areas

Mathematical functions and polynomials ·Applied Mathematics ·Physical Sciences
Advanced Harmonic Analysis Research ·Applied Mathematics ·Physical Sciences
Advanced Mathematical Modeling in Engineering ·Computational Theory and Mathematics ·Physical Sciences

Citations by Year

Related Articles

Other articles contributing to the same SDGs.

2026 · 1 citations

Influence of Sewage Sludge Ash on Clay Properties

Applied Sciences

2026 · 1 citations

Combination and interpretation of differential Higgs boson production cross sections in proton-proton collisions at $$ \sqrt{s}=13 $$ TeV

Journal of High Energy Physics

2026 · 1 citations

Human error assessment and reduction for total electrical power failures at container ship under decomposed fuzzy analytical hierarchy process

Journal of Marine Engineering & Technology

2026

Vector boson scattering and anomalous quartic couplings in final states with ℓνqq or ℓℓqq plus jets using proton-proton collisions at $$ \sqrt{s}=13 $$ TeV

Journal of High Energy Physics
All articles