Results 21 to 30 of about 148,763 (276)
Codomains for the Cauchy-Riemann and Laplace operators in ℝ2
Journal of Function Spaces and Applications, 2008 A codomain for a nonzero constant-coefficient linear partial differential operator P(∂) with fundamental solution E is a space of distributions T for which it is possible to define the convolution E*T and thus solving the equation P(∂)S=T.
Lloyd Edgar S. Moyo
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Axioms, 2023 In this article, we use the concept of symmetric q-calculus and convolution in order to define a symmetric q-differential operator for multivalent functions. This operator is an extension of the classical Ruscheweyh differential operator.
Saima Noor +2 more
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Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications
Journal of Inequalities and Applications, 2009 The Meda inequality for rearrangements of the convolution operator on the Heisenberg group ℍn is proved. By using the Meda inequality, an O'Neil-type inequality for the convolution is obtained. As applications of these results, some sufficient
V. S. Guliyev +3 more
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Optimal codomains for the Laplace operator and the product Laplace operator
Journal of Function Spaces and Applications, 2007 An optimal codomain for an operator P (∂) with fundamental solution E, is a maximal space of distributions T for which it is possible to define the convolution E*T and thus to solve the equation P (∂)S=T.
Josefina Alvarez, Lloyd Edgar S. Moyo
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The problem of trigonometric Fourier series multipliers of classes in λp,q spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this article, we consider weighted spaces of numerical sequences λp,q, which are defined as sets of sequences a = {ak}∞k=1, for which the norm ||a||λp,q := (∞Σk=1|ak|qkq/p −1)1/q < ∞ is finite. In the case of non-increasing sequences, the norm of the
A. Bakhyt, N.T. Tleukhanova
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The Continuous Wavelet Transform for a q-Bessel Type Operator
International Journal of Analysis and Applications, 2022 In this paper, we consider a differential operator on - By accomplishing harmonic analysis tools with respect to the operator we study some definitions and properties of q-Bessel continuous wavelet transform.
C.P. Pandey, Jyoti Saikia
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Triebel--Lizorkin space estimates for multilinear operators of sublinear operators [PDF]
, 2003 In this paper, we obtain the continuity for some multilinear operators related to certain non-convolution operators on the Triebel--Lizorkin space. The operators include Littlewood--Paley operator and Marcinkiewicz operator.Comment: 15 pages, no figures,
Lanzhe, Liu
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Journal of Function Spaces, 2020 In this paper, we define a new derivative operator involving q-Ruscheweyh differential operator using convolution. Using this new operator, we introduce two new classes of analytic functions and obtain the Fekete–Szegö inequalities.
Abdullah Alsoboh, Maslina Darus
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A_{p1,q1}^{p2,q2}(G,w) Banach Uzayı Üzerindeki Bazı Yeni Sonuçlar
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 G ünimodüler yerel kompakt grup ve p=min{p1,p2} olmak üzere w∈Bp olsun. Bu çalışmada, A_{p1,q1}^{p2,q2}(G,w) uzayının indislerin değişmesi durumunda kapsama özellikleri incelenmiştir. Ayrıca w ağırlığının bazı özel şartları sağlaması durumunda A_{p1,
Nilay Değirmen
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Banach algebras of pseudodifferential operators and their almost diagonalization [PDF]
, 2007 We define new symbol classes for pseudodifferntial operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algebras.
Gröchenig, Karlheinz +1 more
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