• Journal of the Chungcheong Mathematical Society
• /
• v.27 no.3
• /
• pp.439-454
• /
• 2014

We deal with the boundedness of the n-th derivatives of Bloch-type functions and Toeplitz operators and give a relationship between Bloch-type spaces and ranges of Toeplitz operators. Also we prove that the vanishing property of ${\parallel}uk^{\alpha}_z{\parallel}_{s,{\alpha}}$ on the boundary of $\mathbb{D}$ implies the compactness of Toeplitz operators and introduce a generalization of Bloch-type spaces.

• Bulletin of the Korean Mathematical Society
• /
• v.56 no.3
• /
• pp.691-702
• /
• 2019

We characterize coefficient multipliers from certain Dirichlet type spaces to Hardy spaces and weighted Bergman spaces.

• Journal of the Korean Mathematical Society
• /
• v.55 no.2
• /
• pp.447-469
• /
• 2018

Types (over parameters) in the theory of atomless random variable structures correspond precisely to (conditional) distributions in probability theory. Moreover, the logic (resp. metric) topology on the type space corresponds to the topology of weak (resp. strong) convergence of distributions. In this paper, we study metrics between types. We show that type spaces under $d^{\ast}-metric$ are isometric to Wasserstein spaces. Using optimal transport theory, two formulas for the metrics between types are given. Then, we give a new proof of an integral formula for the Wasserstein distance, and generalize some results in optimal transport theory.

• Honam Mathematical Journal
• /
• v.37 no.4
• /
• pp.387-395
• /
• 2015

We investigate conditions under which a holomorphic self-map of the unit disk induces a bounded composition operator and study some properties of the composition operator from the Bloch-type spaces into a generalization of the Bloch-type spaces.

• Journal of applied mathematics & informatics
• /
• v.26 no.5_6
• /
• pp.901-910
• /
• 2008

For some generalized N-function ${\Phi}$, some Holder type inequalities and bounded operators on spaces of type $W_M^{\Omega,\Phi}$ generalizing the $W^p$-spaces due to Pathak and Upadhyay are obtained.

• Journal of the Korean Mathematical Society
• /
• v.45 no.1
• /
• pp.229-248
• /
• 2008

The boundedness and compactness of the Volterra composition operators between weighted Bergman spaces and Bloch type spaces are discussed in this paper.

• Proceedings of the Korean Institute of Interior Design Conference
• /
• 2008.05a
• /
• pp.128-133
• /
• 2008

As societal development improves the quality of life and changes the structure of society, the needs of the residents have been varied. As a result, the spaces in Korean houses have also been varied. This phenomenon can be found in both external and internal spaces; a transitional space, which connects the outside space and the inside space, is formed as transition occurs at each phase of movement. As the importance of external and internal spaces is emphasized, and as internal spaces are extended to the exterior, various forms of transitional space are needed. In this study, the boundary types of internal/external spaces are analyzed through transitional spaces that are formed in relation with internal and external spaces. Based on the analysis, transitional spaces in modem Korean houses are classified into the addition type, the cutting type, and the connection type. The results of the study show that transitional spaces in detached houses tend to be placed closely to rooms and a public space, and in terms of material use, the externalization of internal spaces is occurring.

• Bulletin of the Korean Mathematical Society
• /
• v.48 no.5
• /
• pp.1023-1032
• /
• 2011

In this paper, a new Ekeland type variational principle on gauge spaces is established. As applications, we give Caristi-Kirk type fixed point theorems on gauge spaces, and Dane$\check{s}$' drop theorem on seminormed spaces. Also, we show that the Palais-Smale condition implies coercivity on semi-normed spaces.

• Communications of the Korean Mathematical Society
• /
• v.24 no.2
• /
• pp.197-214
• /
• 2009

In this paper, we formulate the definition of compatible mappings of type (I) and (II) in intuitionistic fuzzy metric spaces and prove a common fixed point theorem by using the conditions of compatible mappings of type (I) and (II) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Cho, Sedghi, and Shobe [4].

• Bulletin of the Korean Mathematical Society
• /
• v.58 no.4
• /
• pp.815-828
• /
• 2021

Under some mild conditions for the weight function K, the boundedness, compactness and essential norm of integral operators T_g and I_g from Morrey type spaces H^p_K to weighted BMOA spaces $BMOAK_{K,{\frac{2}{p}}}$ investigated in this paper.