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Displaying 1781 – 1800 of 2728

Small values of polynomials: Cartan, Pólya and others.

Lubinsky, D.S. (1997)

Journal of Inequalities and Applications [electronic only]

Smirnov domains

П.Л. Дьюрен (1989)

Zapiski naucnych seminarov Leningradskogo

Smooth quasiregular mappings with branching

Mario Bonk, Juha Heinonen (2004)

Publications Mathématiques de l'IHÉS

We give an example of a $𝒞^{3 - ϵ}$ -smooth quasiregular mapping in 3-space with nonempty branch set. Moreover, we show that the branch set of an arbitrary quasiregular mapping inn-space has Hausdorff dimension quantitatively bounded away from n. By using the second result, we establish a new, qualitatively sharp relation between smoothness and branching.

Smooth quasiregular maps with branching in $𝐑^{n}$

Robert Kaufman, Jeremy T. Tyson, Jang-Mei Wu (2005)

Publications Mathématiques de l'IHÉS

According to a theorem of Martio, Rickman and Väisälä, all nonconstant Cn/(n-2)-smooth quasiregular maps in Rn, n≥3, are local homeomorphisms. Bonk and Heinonen proved that the order of smoothness is sharp in R3. We prove that the order of smoothness is sharp in R4. For each n≥5 we construct a C1+ε(n)-smooth quasiregular map in Rn with nonempty branch set.

Sobolev classes of mappings on a Carnot-Carathéodory space: various norms and variational problems.

Vodop'yanov, S.K., Romanovskij, N.N. (2008)

Sibirskij Matematicheskij Zhurnal

Solutions de l'équation de Beltrami

G. David (1986/1987)

Séminaire Équations aux dérivées partielles (Polytechnique)

Solved and unsolved problems οn polynomials

Andrzej Schinzel (1995)

Banach Center Publications

Solving Theodorsen's Integral Equation for Conformai Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods.

M.H. Gutknecht (1980/1981)

Numerische Mathematik

Some applications of a differential subordination.

Kim, Yong Chan, Srivastava, H.M. (1999)

International Journal of Mathematics and Mathematical Sciences

Some applications of a first order differential subordination.

Singh, Sukhjit, Gupta, Sushma (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Some applications of differential subordination to a general class of multivalently analytic functions involving a convolution structure.

Prajapat, J.K., Raina, R.K. (2009)

Bulletin of Mathematical Analysis and Applications [electronic only]

Some applications of generalized condensers in the theory of analytic functions.

Dubinin, V.N., Èĭrikh, N.V. (2004)

Zapiski Nauchnykh Seminarov POMI

Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients. I.

Atshan, W.G., Kulkarni, S.R. (2010)

Surveys in Mathematics and its Applications

Some applications of Srivastava-Attiya operator to $p$ -valent starlike functions.

Elrifai, E.A., Darwish, H.E., Ahmed, A.R. (2010)

Journal of Inequalities and Applications [electronic only]

Some applications of subordination theorems associated with fractional $q$ -calculus operator

Wafaa Y. Kota, Rabha Mohamed El-Ashwah (2023)

Mathematica Bohemica

Using the operator $𝔇_{q, ϱ}^{m} (λ, l)$ , we introduce the subclasses $𝔜_{q, ϱ}^{* m} (l, λ, γ)$ and $𝔎_{q, ϱ}^{* m} (l, λ, γ)$ of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results involving the Hadamard product of the associated functions. The interesting consequences of some of these subordination results are also discussed. Also, we derive integral means results for these classes.

Some applications of the Briot-Bouquet differential subordination.

Srivastava, H.M., Lashin, A.Y. (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Some applications of the generalized Bernardi-Libera-Livingston integral operator on univalent functions.

Gordji, M.Eshaghi, Alimohammadi, D., Ebadian, A. (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Some applications of the theorem on rational approximation in the mean

M. Skwarczyński (1976)

Annales Polonici Mathematici

Some Bazilevič functions of order beta.

Halim, S.A. (1991)

International Journal of Mathematics and Mathematical Sciences

Some characterizations of harmonic Bloch and Besov spaces

Xi Fu, Bowen Lu (2016)

Czechoslovak Mathematical Journal

The relationship between weighted Lipschitz functions and analytic Bloch spaces has attracted much attention. In this paper, we define harmonic $ω$ - $α$ -Bloch space and characterize it in terms of $ω ((1 - {| x |}^{2})^{β} {(1 - | y |}^{2})^{α - β}) | \frac{f (x) - f (y)}{x - y} |$ and $ω ((1 - {| x |}^{2})^{β} {(1 - | y |}^{2})^{α - β}) | \frac{f (x) - f (y)}{| x | y - x^{'}} |$ where $ω$ is a majorant. Similar results are extended to harmonic little $ω$ - $α$ -Bloch and Besov spaces. Our results are generalizations of the corresponding ones in G. Ren, U. Kähler (2005).

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