This paper aims at proving the boundedness property of multidimensional singular integral
operators associated with (φ, ψ)-harmonic functions, which are connected by the use of two …

In the present paper we provide some conditions of a geometrical character for continuous
extendibility of the Clifford–Cauchy transform to the boundary of a domain in the Euclidean …

Cauchy Transform and Rectifiability in Clifford Analysis Page 1 Zeitschrift für Analysis und ihre
Anwendungen Journal for Analysis and its Applications Volume 24 (2005), No. 1, 167–178 …

Given a domain Ω in ℝ3 with rectifiable boundary, we consider main integral, and some
other, theorems for the theory of Laplacian (sometimes called solenoidal and irrotational, or …

In the year 1878 William Kingdon Clifford (1845-1879) introduced the algebras named after
him which may be regarded as a generalization of the complex numbers and Hamilton's …

In this paper we consider Jordan domains in real Euclidean spaces of higher dimension
which have fractal boundaries. The case of decomposing a Hölder continuous multivector …

NA Davydov was among the first mathematicians who investigated the question of the
continuity of the complex Cauchy transform along a non‐smooth curve. In particular he …

Research Article A Boundary Value Problem for Hermitian Monogenic Functions Page 1
Hindawi Publishing Corporation Boundary Value Problems Volume 2008, Article ID 385874, 7 …

Let Ω be a bounded open and connected subset of ℝ m which has a C∞-boundary Σ and let
F k∊ C∞(Σ) be ak-multi-vector valued function on Σ. Under which conditions can F k be …

Let ℝ 01, m+(s) be the space of s‐vectors (0≤ s≤ m+ 1) in the Clifford algebra ℝ0, m+ 1
constructed over the quadratic vector space ℝ0, m+ 1, let r, p, q∈ ℕ with 0≤ r≤ m+ 1, 0≤ …