In an accounting context, the term "capitalization" means method in which a cost is included in the value of an asset and expensed over the useful life of that asset, instead of being expensed in the period when the cost was originally incurred.
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the raising or provision of capital for a company by issuing shares or securities
Initially, company capitalization takes place through the issuance of shares.
the total value of all of a company's shares
Arsenal's shares trade at £1500 with a market capitalization of £88mn.