Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$
For an inhomogeneous generalized Cauchy-Riemann system with nonsmooth coefficients separated from zero, we establish conditions for the solvability and estimation of a weighted solution and its first-order derivatives.
Saved in:
| Date: | 1996 |
|---|---|
| Main Authors: | Ospanov, K. N., Оспанов, К. Н. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5210 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On coercive solvability of operator-differential equations in $B$-spaces
by: Dzhabrailov, M. S., et al.
Published: (1994)
by: Dzhabrailov, M. S., et al.
Published: (1994)
On the Dirichlet problem for generalized Cauchy-Riemann equations
by: Gutlyanskii, V.Yu., et al.
Published: (2025)
by: Gutlyanskii, V.Yu., et al.
Published: (2025)
On solvability of the variational inequality with +-coercive multivalued mappings
by: Solonoukha, O.V.
Published: (1999)
by: Solonoukha, O.V.
Published: (1999)
On Jackson’s theorem in $L_p$ spaces
by: Tіman, M. F., et al.
Published: (1966)
by: Tіman, M. F., et al.
Published: (1966)
On the Approximation by Modified Interpolation Polynomials in Spaces $L_p$
by: Metelichenko, A.B., et al.
Published: (2004)
by: Metelichenko, A.B., et al.
Published: (2004)
On Stability of the Cauchy Equation on Solvable Groups
by: Faiziev, V. A., et al.
Published: (2015)
by: Faiziev, V. A., et al.
Published: (2015)
Best approximation by ridge functions in $L_p$-spaces
by: Maiorov, V. E., et al.
Published: (2010)
by: Maiorov, V. E., et al.
Published: (2010)
Logarithmic asymptotics of the nonlinear Cauchy – Riemann – Beltrami equation
by: R. R. Salimov, et al.
Published: (2021)
by: R. R. Salimov, et al.
Published: (2021)
On the Cauchy-Riemann Geometry of Transversal Curves in the 3-Sphere
by: E. Musso, et al.
Published: (2020)
by: E. Musso, et al.
Published: (2020)
Logarithmic asymptotics of the nonlinear Cauchy – Riemann – Beltrami equation
by: Salimov , R. R., et al.
Published: (2021)
by: Salimov , R. R., et al.
Published: (2021)
Complete Solvability of the Cauchy Problem for Petrovskii Parabolic Equations in S-Type Spaces
by: Litovchenko, V. A., et al.
Published: (2002)
by: Litovchenko, V. A., et al.
Published: (2002)
Approximation of compressions of periodic functions in the space $L_p,\; p < 1$
by: Pichugov, S. A., et al.
Published: (1995)
by: Pichugov, S. A., et al.
Published: (1995)
On Stability of the Cauchy Equation on Solvable Groups
by: V. A. Faiziev, et al.
Published: (2015)
by: V. A. Faiziev, et al.
Published: (2015)
On the Correct Solvability of One Cauchy Problem
by: Litovchenko, V. A., et al.
Published: (2002)
by: Litovchenko, V. A., et al.
Published: (2002)
Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line
by: S. A. Plaksa
Published: (2019)
by: S. A. Plaksa
Published: (2019)
Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line
by: Plaksa, S.A.
Published: (2019)
by: Plaksa, S.A.
Published: (2019)
$b$-coercive convolution equations in weighted function spaces
and applications
by: Musaev, H. K., et al.
Published: (2017)
by: Musaev, H. K., et al.
Published: (2017)
On the completeness of algebraic polynomials in the spaces $L_p (ℝ, dμ)$
by: Bakan, A. G., et al.
Published: (2009)
by: Bakan, A. G., et al.
Published: (2009)
Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$
by: Babenko, V. F., et al.
Published: (2004)
by: Babenko, V. F., et al.
Published: (2004)
On one extremal problem for nonlinear Cauchy-Riemann-Beltrami systems
by: R. R. Salimov, et al.
Published: (2020)
by: R. R. Salimov, et al.
Published: (2020)
Space-time fractional Cauchy problem in spaces of generalized functions
by: Lopushanskaya, G. P., et al.
Published: (2012)
by: Lopushanskaya, G. P., et al.
Published: (2012)
Approximation of the Classes $H_p^{Ω}$ of Periodic Functions of Many Variables in the Space $L_p$
by: Derev’yanko, N. V., et al.
Published: (2014)
by: Derev’yanko, N. V., et al.
Published: (2014)
$l_p$-Solutions of One Difference Equation in a Banach Space
by: Gorodnii, M. F., et al.
Published: (2003)
by: Gorodnii, M. F., et al.
Published: (2003)
Trivial differential equations in spaces $L_p, 0 < p< 1$
by: Popova , L. V., et al.
Published: (1992)
by: Popova , L. V., et al.
Published: (1992)
B-coercive convolution equations in weighted function spaces and application
by: H. K. Musaev, et al.
Published: (2017)
by: H. K. Musaev, et al.
Published: (2017)
Estimation of the norm of the derivative of a monotone rational function in the spaces $L_p$
by: Vyazovs’ka, M. S., et al.
Published: (2009)
by: Vyazovs’ka, M. S., et al.
Published: (2009)
Approximation of classes of analytic functions by Fourier sums in the metric of the space $L_p$
by: Serdyuk, A. S., et al.
Published: (2005)
by: Serdyuk, A. S., et al.
Published: (2005)
On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
by: S. P. Pafyk, et al.
Published: (2013)
by: S. P. Pafyk, et al.
Published: (2013)
On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
by: Pafyk, S. P., et al.
Published: (2013)
by: Pafyk, S. P., et al.
Published: (2013)
Correct Solvability of the Cauchy Problem for One Equation of Integral Form
by: Litovchenko, V. A., et al.
Published: (2004)
by: Litovchenko, V. A., et al.
Published: (2004)
On the approximation by Chebyshev splines in the metric of $L_p, p > 0$
by: Kryakin, Yu. V., et al.
Published: (1998)
by: Kryakin, Yu. V., et al.
Published: (1998)
Khoroshun L.P., Shikula E.N. Deformation and Long-Time Damageability of Physically Nonlinear Fibrous Materials
by: L. P. Khoroshun, et al.
Published: (2014)
by: L. P. Khoroshun, et al.
Published: (2014)
Asymptotic behavior of the best approximations for the functions in $L_p$
by: Pichugov, S. A., et al.
Published: (1993)
by: Pichugov, S. A., et al.
Published: (1993)
Einstein-Riemann gravity on deformed spaces
by: Wess, J.
Published: (2006)
by: Wess, J.
Published: (2006)
Some new conditions for the solvability of the cauchy problem for systems of linear functional-differential equations
by: Dil'na, N. Z., et al.
Published: (2004)
by: Dil'na, N. Z., et al.
Published: (2004)
Inequalities for derivatives of functions in the spaces Lp
by: Kofanov, V. A., et al.
Published: (2008)
by: Kofanov, V. A., et al.
Published: (2008)
Approximation by interpolation trigonometric polynomials
in metrics of the spaces $L_p$ on the classes of periodic entire functions
by: Serdyuk, A. S., et al.
Published: (2019)
by: Serdyuk, A. S., et al.
Published: (2019)
Criterion for the Denseness of Algebraic Polynomials in the Spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$
by: Bakan, A. G., et al.
Published: (2003)
by: Bakan, A. G., et al.
Published: (2003)
Multidimensional analogues of the Cauchy – Riemann&#039;s system and representations of their solutions via harmonic functions
by: Zh. A. Tokibetov, et al.
Published: (2016)
by: Zh. A. Tokibetov, et al.
Published: (2016)
Conditions of solvability of the problem inverse to the Cauchy problem for the difference-algebraic equation
by: S. M. Chuiko, et al.
Published: (2021)
by: S. M. Chuiko, et al.
Published: (2021)
Similar Items
-
On coercive solvability of operator-differential equations in $B$-spaces
by: Dzhabrailov, M. S., et al.
Published: (1994) -
On the Dirichlet problem for generalized Cauchy-Riemann equations
by: Gutlyanskii, V.Yu., et al.
Published: (2025) -
On solvability of the variational inequality with +-coercive multivalued mappings
by: Solonoukha, O.V.
Published: (1999) -
On Jackson’s theorem in $L_p$ spaces
by: Tіman, M. F., et al.
Published: (1966) -
On the Approximation by Modified Interpolation Polynomials in Spaces $L_p$
by: Metelichenko, A.B., et al.
Published: (2004)